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Finding the Third Proportional to 118,940 and 169,116

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Solution

The third proportional to 118,940 and 169,116 is: 240,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,940 : 169,116 = 169,116 : x
  2. Step 2: Convert to fraction form
    118,940/169,116 = 169,116/x
  3. Step 3: Cross multiply
    118,940x = 169,116 × 169,116
  4. Step 4: Simplify right side
    118,940x = 28,600,221,456
  5. Step 5: Solve for x
    x = 28,600,221,456/118,940
  6. Step 6: Final answer
    x = 240,459.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.