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Finding the Third Proportional to 62,665 and 95,981

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Solution

The third proportional to 62,665 and 95,981 is: 147,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,665 : 95,981 = 95,981 : x
  2. Step 2: Convert to fraction form
    62,665/95,981 = 95,981/x
  3. Step 3: Cross multiply
    62,665x = 95,981 × 95,981
  4. Step 4: Simplify right side
    62,665x = 9,212,352,361
  5. Step 5: Solve for x
    x = 9,212,352,361/62,665
  6. Step 6: Final answer
    x = 147,009.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.