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Finding the Third Proportional to 59,638 and 89,151

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Solution

The third proportional to 59,638 and 89,151 is: 133,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638 : 89,151 = 89,151 : x
  2. Step 2: Convert to fraction form
    59,638/89,151 = 89,151/x
  3. Step 3: Cross multiply
    59,638x = 89,151 × 89,151
  4. Step 4: Simplify right side
    59,638x = 7,947,900,801
  5. Step 5: Solve for x
    x = 7,947,900,801/59,638
  6. Step 6: Final answer
    x = 133,269.07

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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.