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Finding the Third Proportional to 114,782 and 168,393

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Solution

The third proportional to 114,782 and 168,393 is: 247,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782 : 168,393 = 168,393 : x
  2. Step 2: Convert to fraction form
    114,782/168,393 = 168,393/x
  3. Step 3: Cross multiply
    114,782x = 168,393 × 168,393
  4. Step 4: Simplify right side
    114,782x = 28,356,202,449
  5. Step 5: Solve for x
    x = 28,356,202,449/114,782
  6. Step 6: Final answer
    x = 247,043.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.