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Finding the Third Proportional to 57,841 and 87,491

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Solution

The third proportional to 57,841 and 87,491 is: 132,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841 : 87,491 = 87,491 : x
  2. Step 2: Convert to fraction form
    57,841/87,491 = 87,491/x
  3. Step 3: Cross multiply
    57,841x = 87,491 × 87,491
  4. Step 4: Simplify right side
    57,841x = 7,654,675,081
  5. Step 5: Solve for x
    x = 7,654,675,081/57,841
  6. Step 6: Final answer
    x = 132,339.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.