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Finding the Third Proportional to 65,721.38 and 101,487.94

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Solution

The third proportional to 65,721.38 and 101,487.94 is: 156,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,721.38 : 101,487.94 = 101,487.94 : x
  2. Step 2: Convert to fraction form
    65,721.38/101,487.94 = 101,487.94/x
  3. Step 3: Cross multiply
    65,721.38x = 101,487.94 × 101,487.94
  4. Step 4: Simplify right side
    65,721.38x = 10,299,801,458.00
  5. Step 5: Solve for x
    x = 10,299,801,458.00/65,721.38
  6. Step 6: Final answer
    x = 156,719.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.