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Finding the Third Proportional to 52,782 and 114,372

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Solution

The third proportional to 52,782 and 114,372 is: 247,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782 : 114,372 = 114,372 : x
  2. Step 2: Convert to fraction form
    52,782/114,372 = 114,372/x
  3. Step 3: Cross multiply
    52,782x = 114,372 × 114,372
  4. Step 4: Simplify right side
    52,782x = 13,080,954,384
  5. Step 5: Solve for x
    x = 13,080,954,384/52,782
  6. Step 6: Final answer
    x = 247,829.84

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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.