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Finding the Third Proportional to 60,367 and 89,837

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Solution

The third proportional to 60,367 and 89,837 is: 133,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,367 : 89,837 = 89,837 : x
  2. Step 2: Convert to fraction form
    60,367/89,837 = 89,837/x
  3. Step 3: Cross multiply
    60,367x = 89,837 × 89,837
  4. Step 4: Simplify right side
    60,367x = 8,070,686,569
  5. Step 5: Solve for x
    x = 8,070,686,569/60,367
  6. Step 6: Final answer
    x = 133,693.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.