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Finding the Third Proportional to 57,264 and 88,068

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Solution

The third proportional to 57,264 and 88,068 is: 135,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264 : 88,068 = 88,068 : x
  2. Step 2: Convert to fraction form
    57,264/88,068 = 88,068/x
  3. Step 3: Cross multiply
    57,264x = 88,068 × 88,068
  4. Step 4: Simplify right side
    57,264x = 7,755,972,624
  5. Step 5: Solve for x
    x = 7,755,972,624/57,264
  6. Step 6: Final answer
    x = 135,442.38

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Why These Related Problems?

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