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Finding the Third Proportional to 55,677.38 and 123,778.13

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Solution

The third proportional to 55,677.38 and 123,778.13 is: 275,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,677.38 : 123,778.13 = 123,778.13 : x
  2. Step 2: Convert to fraction form
    55,677.38/123,778.13 = 123,778.13/x
  3. Step 3: Cross multiply
    55,677.38x = 123,778.13 × 123,778.13
  4. Step 4: Simplify right side
    55,677.38x = 15,321,024,228.52
  5. Step 5: Solve for x
    x = 15,321,024,228.52/55,677.38
  6. Step 6: Final answer
    x = 275,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.