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Finding the Third Proportional to 103,700.25 and 167,487.75

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Solution

The third proportional to 103,700.25 and 167,487.75 is: 270,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,700.25 : 167,487.75 = 167,487.75 : x
  2. Step 2: Convert to fraction form
    103,700.25/167,487.75 = 167,487.75/x
  3. Step 3: Cross multiply
    103,700.25x = 167,487.75 × 167,487.75
  4. Step 4: Simplify right side
    103,700.25x = 28,052,146,400.06
  5. Step 5: Solve for x
    x = 28,052,146,400.06/103,700.25
  6. Step 6: Final answer
    x = 270,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.