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Finding the Third Proportional to 57,988 and 89,601

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Solution

The third proportional to 57,988 and 89,601 is: 138,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,988 : 89,601 = 89,601 : x
  2. Step 2: Convert to fraction form
    57,988/89,601 = 89,601/x
  3. Step 3: Cross multiply
    57,988x = 89,601 × 89,601
  4. Step 4: Simplify right side
    57,988x = 8,028,339,201
  5. Step 5: Solve for x
    x = 8,028,339,201/57,988
  6. Step 6: Final answer
    x = 138,448.29

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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.