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Finding the Third Proportional to 117,540 and 253,782

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Solution

The third proportional to 117,540 and 253,782 is: 547,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,540 : 253,782 = 253,782 : x
  2. Step 2: Convert to fraction form
    117,540/253,782 = 253,782/x
  3. Step 3: Cross multiply
    117,540x = 253,782 × 253,782
  4. Step 4: Simplify right side
    117,540x = 64,405,303,524
  5. Step 5: Solve for x
    x = 64,405,303,524/117,540
  6. Step 6: Final answer
    x = 547,943.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.