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Finding the Third Proportional to 57,676 and 84,282

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Solution

The third proportional to 57,676 and 84,282 is: 123,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676 : 84,282 = 84,282 : x
  2. Step 2: Convert to fraction form
    57,676/84,282 = 84,282/x
  3. Step 3: Cross multiply
    57,676x = 84,282 × 84,282
  4. Step 4: Simplify right side
    57,676x = 7,103,455,524
  5. Step 5: Solve for x
    x = 7,103,455,524/57,676
  6. Step 6: Final answer
    x = 123,161.38

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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.