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Finding the Third Proportional to 55,649.53 and 123,757.88

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Solution

The third proportional to 55,649.53 and 123,757.88 is: 275,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.53 : 123,757.88 = 123,757.88 : x
  2. Step 2: Convert to fraction form
    55,649.53/123,757.88 = 123,757.88/x
  3. Step 3: Cross multiply
    55,649.53x = 123,757.88 × 123,757.88
  4. Step 4: Simplify right side
    55,649.53x = 15,316,011,624.52
  5. Step 5: Solve for x
    x = 15,316,011,624.52/55,649.53
  6. Step 6: Final answer
    x = 275,222.65

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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.