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Finding the Third Proportional to 57,164 and 87,932

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Solution

The third proportional to 57,164 and 87,932 is: 135,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164 : 87,932 = 87,932 : x
  2. Step 2: Convert to fraction form
    57,164/87,932 = 87,932/x
  3. Step 3: Cross multiply
    57,164x = 87,932 × 87,932
  4. Step 4: Simplify right side
    57,164x = 7,732,036,624
  5. Step 5: Solve for x
    x = 7,732,036,624/57,164
  6. Step 6: Final answer
    x = 135,260.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.