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Finding the Third Proportional to 57,957.75 and 126,987.75

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Solution

The third proportional to 57,957.75 and 126,987.75 is: 278,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,957.75 : 126,987.75 = 126,987.75 : x
  2. Step 2: Convert to fraction form
    57,957.75/126,987.75 = 126,987.75/x
  3. Step 3: Cross multiply
    57,957.75x = 126,987.75 × 126,987.75
  4. Step 4: Simplify right side
    57,957.75x = 16,125,888,650.06
  5. Step 5: Solve for x
    x = 16,125,888,650.06/57,957.75
  6. Step 6: Final answer
    x = 278,235.24

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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.