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Finding the Third Proportional to 57,112.69 and 123,759.19

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Solution

The third proportional to 57,112.69 and 123,759.19 is: 268,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.69 : 123,759.19 = 123,759.19 : x
  2. Step 2: Convert to fraction form
    57,112.69/123,759.19 = 123,759.19/x
  3. Step 3: Cross multiply
    57,112.69x = 123,759.19 × 123,759.19
  4. Step 4: Simplify right side
    57,112.69x = 15,316,336,490.66
  5. Step 5: Solve for x
    x = 15,316,336,490.66/57,112.69
  6. Step 6: Final answer
    x = 268,177.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.