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Finding the Third Proportional to 52,566 and 113,882

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Solution

The third proportional to 52,566 and 113,882 is: 246,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,566 : 113,882 = 113,882 : x
  2. Step 2: Convert to fraction form
    52,566/113,882 = 113,882/x
  3. Step 3: Cross multiply
    52,566x = 113,882 × 113,882
  4. Step 4: Simplify right side
    52,566x = 12,969,109,924
  5. Step 5: Solve for x
    x = 12,969,109,924/52,566
  6. Step 6: Final answer
    x = 246,720.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.