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Finding the Third Proportional to 57,952 and 87,741

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Solution

The third proportional to 57,952 and 87,741 is: 132,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952 : 87,741 = 87,741 : x
  2. Step 2: Convert to fraction form
    57,952/87,741 = 87,741/x
  3. Step 3: Cross multiply
    57,952x = 87,741 × 87,741
  4. Step 4: Simplify right side
    57,952x = 7,698,483,081
  5. Step 5: Solve for x
    x = 7,698,483,081/57,952
  6. Step 6: Final answer
    x = 132,842.41

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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.