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Finding the Third Proportional to 57,850 and 87,267

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Solution

The third proportional to 57,850 and 87,267 is: 131,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,850 : 87,267 = 87,267 : x
  2. Step 2: Convert to fraction form
    57,850/87,267 = 87,267/x
  3. Step 3: Cross multiply
    57,850x = 87,267 × 87,267
  4. Step 4: Simplify right side
    57,850x = 7,615,529,289
  5. Step 5: Solve for x
    x = 7,615,529,289/57,850
  6. Step 6: Final answer
    x = 131,642.68

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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.