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Finding the Third Proportional to 57,918.38 and 126,907.88

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Solution

The third proportional to 57,918.38 and 126,907.88 is: 278,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,918.38 : 126,907.88 = 126,907.88 : x
  2. Step 2: Convert to fraction form
    57,918.38/126,907.88 = 126,907.88/x
  3. Step 3: Cross multiply
    57,918.38x = 126,907.88 × 126,907.88
  4. Step 4: Simplify right side
    57,918.38x = 16,105,608,737.02
  5. Step 5: Solve for x
    x = 16,105,608,737.02/57,918.38
  6. Step 6: Final answer
    x = 278,074.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.