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Finding the Third Proportional to 82,342 and 124,386

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Solution

The third proportional to 82,342 and 124,386 is: 187,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342 : 124,386 = 124,386 : x
  2. Step 2: Convert to fraction form
    82,342/124,386 = 124,386/x
  3. Step 3: Cross multiply
    82,342x = 124,386 × 124,386
  4. Step 4: Simplify right side
    82,342x = 15,471,876,996
  5. Step 5: Solve for x
    x = 15,471,876,996/82,342
  6. Step 6: Final answer
    x = 187,897.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.