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Finding the Third Proportional to 68,149.13 and 159,184.69

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Solution

The third proportional to 68,149.13 and 159,184.69 is: 371,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,149.13 : 159,184.69 = 159,184.69 : x
  2. Step 2: Convert to fraction form
    68,149.13/159,184.69 = 159,184.69/x
  3. Step 3: Cross multiply
    68,149.13x = 159,184.69 × 159,184.69
  4. Step 4: Simplify right side
    68,149.13x = 25,339,764,734.47
  5. Step 5: Solve for x
    x = 25,339,764,734.47/68,149.13
  6. Step 6: Final answer
    x = 371,828.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.