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Finding the Third Proportional to 57,996 and 88,866

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Solution

The third proportional to 57,996 and 88,866 is: 136,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 88,866 = 88,866 : x
  2. Step 2: Convert to fraction form
    57,996/88,866 = 88,866/x
  3. Step 3: Cross multiply
    57,996x = 88,866 × 88,866
  4. Step 4: Simplify right side
    57,996x = 7,897,165,956
  5. Step 5: Solve for x
    x = 7,897,165,956/57,996
  6. Step 6: Final answer
    x = 136,167.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.