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Finding the Third Proportional to 57,241 and 88,559

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Solution

The third proportional to 57,241 and 88,559 is: 137,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241 : 88,559 = 88,559 : x
  2. Step 2: Convert to fraction form
    57,241/88,559 = 88,559/x
  3. Step 3: Cross multiply
    57,241x = 88,559 × 88,559
  4. Step 4: Simplify right side
    57,241x = 7,842,696,481
  5. Step 5: Solve for x
    x = 7,842,696,481/57,241
  6. Step 6: Final answer
    x = 137,011.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.