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Finding the Third Proportional to 65,760 and 101,709

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Solution

The third proportional to 65,760 and 101,709 is: 157,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,760 : 101,709 = 101,709 : x
  2. Step 2: Convert to fraction form
    65,760/101,709 = 101,709/x
  3. Step 3: Cross multiply
    65,760x = 101,709 × 101,709
  4. Step 4: Simplify right side
    65,760x = 10,344,720,681
  5. Step 5: Solve for x
    x = 10,344,720,681/65,760
  6. Step 6: Final answer
    x = 157,310.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.