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Finding the Third Proportional to 103,200.96 and 145,331.09

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Solution

The third proportional to 103,200.96 and 145,331.09 is: 204,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200.96 : 145,331.09 = 145,331.09 : x
  2. Step 2: Convert to fraction form
    103,200.96/145,331.09 = 145,331.09/x
  3. Step 3: Cross multiply
    103,200.96x = 145,331.09 × 145,331.09
  4. Step 4: Simplify right side
    103,200.96x = 21,121,124,539.77
  5. Step 5: Solve for x
    x = 21,121,124,539.77/103,200.96
  6. Step 6: Final answer
    x = 204,660.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.