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Finding the Third Proportional to 57,233 and 87,020

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Solution

The third proportional to 57,233 and 87,020 is: 132,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233 : 87,020 = 87,020 : x
  2. Step 2: Convert to fraction form
    57,233/87,020 = 87,020/x
  3. Step 3: Cross multiply
    57,233x = 87,020 × 87,020
  4. Step 4: Simplify right side
    57,233x = 7,572,480,400
  5. Step 5: Solve for x
    x = 7,572,480,400/57,233
  6. Step 6: Final answer
    x = 132,309.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.