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Finding the Third Proportional to 65,712 and 101,940

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Solution

The third proportional to 65,712 and 101,940 is: 158,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712 : 101,940 = 101,940 : x
  2. Step 2: Convert to fraction form
    65,712/101,940 = 101,940/x
  3. Step 3: Cross multiply
    65,712x = 101,940 × 101,940
  4. Step 4: Simplify right side
    65,712x = 10,391,763,600
  5. Step 5: Solve for x
    x = 10,391,763,600/65,712
  6. Step 6: Final answer
    x = 158,141.03

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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.