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Finding the Third Proportional to 64,050.75 and 102,322.13

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Solution

The third proportional to 64,050.75 and 102,322.13 is: 163,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050.75 : 102,322.13 = 102,322.13 : x
  2. Step 2: Convert to fraction form
    64,050.75/102,322.13 = 102,322.13/x
  3. Step 3: Cross multiply
    64,050.75x = 102,322.13 × 102,322.13
  4. Step 4: Simplify right side
    64,050.75x = 10,469,817,264.52
  5. Step 5: Solve for x
    x = 10,469,817,264.52/64,050.75
  6. Step 6: Final answer
    x = 163,461.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.