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Finding the Third Proportional to 57,769 and 88,741

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Solution

The third proportional to 57,769 and 88,741 is: 136,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769 : 88,741 = 88,741 : x
  2. Step 2: Convert to fraction form
    57,769/88,741 = 88,741/x
  3. Step 3: Cross multiply
    57,769x = 88,741 × 88,741
  4. Step 4: Simplify right side
    57,769x = 7,874,965,081
  5. Step 5: Solve for x
    x = 7,874,965,081/57,769
  6. Step 6: Final answer
    x = 136,318.18

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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.