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Finding the Third Proportional to 57,264 and 89,170

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Solution

The third proportional to 57,264 and 89,170 is: 138,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264 : 89,170 = 89,170 : x
  2. Step 2: Convert to fraction form
    57,264/89,170 = 89,170/x
  3. Step 3: Cross multiply
    57,264x = 89,170 × 89,170
  4. Step 4: Simplify right side
    57,264x = 7,951,288,900
  5. Step 5: Solve for x
    x = 7,951,288,900/57,264
  6. Step 6: Final answer
    x = 138,853.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.