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Finding the Third Proportional to 57,928.13 and 126,928.50

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Solution

The third proportional to 57,928.13 and 126,928.50 is: 278,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,928.13 : 126,928.50 = 126,928.50 : x
  2. Step 2: Convert to fraction form
    57,928.13/126,928.50 = 126,928.50/x
  3. Step 3: Cross multiply
    57,928.13x = 126,928.50 × 126,928.50
  4. Step 4: Simplify right side
    57,928.13x = 16,110,844,112.25
  5. Step 5: Solve for x
    x = 16,110,844,112.25/57,928.13
  6. Step 6: Final answer
    x = 278,117.82

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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.