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Finding the Third Proportional to 65,481 and 142,957

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Solution

The third proportional to 65,481 and 142,957 is: 312,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,481 : 142,957 = 142,957 : x
  2. Step 2: Convert to fraction form
    65,481/142,957 = 142,957/x
  3. Step 3: Cross multiply
    65,481x = 142,957 × 142,957
  4. Step 4: Simplify right side
    65,481x = 20,436,703,849
  5. Step 5: Solve for x
    x = 20,436,703,849/65,481
  6. Step 6: Final answer
    x = 312,101.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.