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Finding the Third Proportional to 60,454 and 93,839

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Solution

The third proportional to 60,454 and 93,839 is: 145,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,454 : 93,839 = 93,839 : x
  2. Step 2: Convert to fraction form
    60,454/93,839 = 93,839/x
  3. Step 3: Cross multiply
    60,454x = 93,839 × 93,839
  4. Step 4: Simplify right side
    60,454x = 8,805,757,921
  5. Step 5: Solve for x
    x = 8,805,757,921/60,454
  6. Step 6: Final answer
    x = 145,660.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.