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Finding the Third Proportional to 119,080.13 and 169,264.69

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Solution

The third proportional to 119,080.13 and 169,264.69 is: 240,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,080.13 : 169,264.69 = 169,264.69 : x
  2. Step 2: Convert to fraction form
    119,080.13/169,264.69 = 169,264.69/x
  3. Step 3: Cross multiply
    119,080.13x = 169,264.69 × 169,264.69
  4. Step 4: Simplify right side
    119,080.13x = 28,650,534,434.47
  5. Step 5: Solve for x
    x = 28,650,534,434.47/119,080.13
  6. Step 6: Final answer
    x = 240,598.79

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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.