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Finding the Third Proportional to 52,541 and 112,463

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Solution

The third proportional to 52,541 and 112,463 is: 240,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,541 : 112,463 = 112,463 : x
  2. Step 2: Convert to fraction form
    52,541/112,463 = 112,463/x
  3. Step 3: Cross multiply
    52,541x = 112,463 × 112,463
  4. Step 4: Simplify right side
    52,541x = 12,647,926,369
  5. Step 5: Solve for x
    x = 12,647,926,369/52,541
  6. Step 6: Final answer
    x = 240,724.89

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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.