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Finding the Third Proportional to 62,082 and 95,930

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Solution

The third proportional to 62,082 and 95,930 is: 148,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,082 : 95,930 = 95,930 : x
  2. Step 2: Convert to fraction form
    62,082/95,930 = 95,930/x
  3. Step 3: Cross multiply
    62,082x = 95,930 × 95,930
  4. Step 4: Simplify right side
    62,082x = 9,202,564,900
  5. Step 5: Solve for x
    x = 9,202,564,900/62,082
  6. Step 6: Final answer
    x = 148,232.42

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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.