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Finding the Third Proportional to 57,993 and 89,607

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Solution

The third proportional to 57,993 and 89,607 is: 138,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,993 : 89,607 = 89,607 : x
  2. Step 2: Convert to fraction form
    57,993/89,607 = 89,607/x
  3. Step 3: Cross multiply
    57,993x = 89,607 × 89,607
  4. Step 4: Simplify right side
    57,993x = 8,029,414,449
  5. Step 5: Solve for x
    x = 8,029,414,449/57,993
  6. Step 6: Final answer
    x = 138,454.89

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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.