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Finding the Third Proportional to 65,709 and 99,862

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Solution

The third proportional to 65,709 and 99,862 is: 151,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709 : 99,862 = 99,862 : x
  2. Step 2: Convert to fraction form
    65,709/99,862 = 99,862/x
  3. Step 3: Cross multiply
    65,709x = 99,862 × 99,862
  4. Step 4: Simplify right side
    65,709x = 9,972,419,044
  5. Step 5: Solve for x
    x = 9,972,419,044/65,709
  6. Step 6: Final answer
    x = 151,766.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.