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Finding the Third Proportional to 42,512 and 67,524

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Solution

The third proportional to 42,512 and 67,524 is: 107,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,512 : 67,524 = 67,524 : x
  2. Step 2: Convert to fraction form
    42,512/67,524 = 67,524/x
  3. Step 3: Cross multiply
    42,512x = 67,524 × 67,524
  4. Step 4: Simplify right side
    42,512x = 4,559,490,576
  5. Step 5: Solve for x
    x = 4,559,490,576/42,512
  6. Step 6: Final answer
    x = 107,251.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.