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Finding the Third Proportional to 123,612.75 and 185,338.13

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Solution

The third proportional to 123,612.75 and 185,338.13 is: 277,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,612.75 : 185,338.13 = 185,338.13 : x
  2. Step 2: Convert to fraction form
    123,612.75/185,338.13 = 185,338.13/x
  3. Step 3: Cross multiply
    123,612.75x = 185,338.13 × 185,338.13
  4. Step 4: Simplify right side
    123,612.75x = 34,350,220,578.52
  5. Step 5: Solve for x
    x = 34,350,220,578.52/123,612.75
  6. Step 6: Final answer
    x = 277,885.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.