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Finding the Third Proportional to 57,624 and 84,231

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Solution

The third proportional to 57,624 and 84,231 is: 123,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,624 : 84,231 = 84,231 : x
  2. Step 2: Convert to fraction form
    57,624/84,231 = 84,231/x
  3. Step 3: Cross multiply
    57,624x = 84,231 × 84,231
  4. Step 4: Simplify right side
    57,624x = 7,094,861,361
  5. Step 5: Solve for x
    x = 7,094,861,361/57,624
  6. Step 6: Final answer
    x = 123,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.