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Finding the Third Proportional to 54,391.50 and 83,197.13

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Solution

The third proportional to 54,391.50 and 83,197.13 is: 127,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,391.50 : 83,197.13 = 83,197.13 : x
  2. Step 2: Convert to fraction form
    54,391.50/83,197.13 = 83,197.13/x
  3. Step 3: Cross multiply
    54,391.50x = 83,197.13 × 83,197.13
  4. Step 4: Simplify right side
    54,391.50x = 6,921,761,608.27
  5. Step 5: Solve for x
    x = 6,921,761,608.27/54,391.50
  6. Step 6: Final answer
    x = 127,258.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.