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Finding the Third Proportional to 116,696 and 169,941

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Solution

The third proportional to 116,696 and 169,941 is: 247,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,696 : 169,941 = 169,941 : x
  2. Step 2: Convert to fraction form
    116,696/169,941 = 169,941/x
  3. Step 3: Cross multiply
    116,696x = 169,941 × 169,941
  4. Step 4: Simplify right side
    116,696x = 28,879,943,481
  5. Step 5: Solve for x
    x = 28,879,943,481/116,696
  6. Step 6: Final answer
    x = 247,480.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.