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Finding the Third Proportional to 57,368 and 87,267

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Solution

The third proportional to 57,368 and 87,267 is: 132,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,368 : 87,267 = 87,267 : x
  2. Step 2: Convert to fraction form
    57,368/87,267 = 87,267/x
  3. Step 3: Cross multiply
    57,368x = 87,267 × 87,267
  4. Step 4: Simplify right side
    57,368x = 7,615,529,289
  5. Step 5: Solve for x
    x = 7,615,529,289/57,368
  6. Step 6: Final answer
    x = 132,748.73

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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.