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Finding the Third Proportional to 59,058 and 89,680

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Solution

The third proportional to 59,058 and 89,680 is: 136,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,058 : 89,680 = 89,680 : x
  2. Step 2: Convert to fraction form
    59,058/89,680 = 89,680/x
  3. Step 3: Cross multiply
    59,058x = 89,680 × 89,680
  4. Step 4: Simplify right side
    59,058x = 8,042,502,400
  5. Step 5: Solve for x
    x = 8,042,502,400/59,058
  6. Step 6: Final answer
    x = 136,179.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.