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Finding the Third Proportional to 73,658.25 and 150,418.13

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Solution

The third proportional to 73,658.25 and 150,418.13 is: 307,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,658.25 : 150,418.13 = 150,418.13 : x
  2. Step 2: Convert to fraction form
    73,658.25/150,418.13 = 150,418.13/x
  3. Step 3: Cross multiply
    73,658.25x = 150,418.13 × 150,418.13
  4. Step 4: Simplify right side
    73,658.25x = 22,625,612,328.52
  5. Step 5: Solve for x
    x = 22,625,612,328.52/73,658.25
  6. Step 6: Final answer
    x = 307,170.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.