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Finding the Third Proportional to 62,384 and 95,890

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Solution

The third proportional to 62,384 and 95,890 is: 147,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,384 : 95,890 = 95,890 : x
  2. Step 2: Convert to fraction form
    62,384/95,890 = 95,890/x
  3. Step 3: Cross multiply
    62,384x = 95,890 × 95,890
  4. Step 4: Simplify right side
    62,384x = 9,194,892,100
  5. Step 5: Solve for x
    x = 9,194,892,100/62,384
  6. Step 6: Final answer
    x = 147,391.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.