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Finding the Third Proportional to 52,524 and 112,431

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Solution

The third proportional to 52,524 and 112,431 is: 240,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 112,431 = 112,431 : x
  2. Step 2: Convert to fraction form
    52,524/112,431 = 112,431/x
  3. Step 3: Cross multiply
    52,524x = 112,431 × 112,431
  4. Step 4: Simplify right side
    52,524x = 12,640,729,761
  5. Step 5: Solve for x
    x = 12,640,729,761/52,524
  6. Step 6: Final answer
    x = 240,665.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.