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Finding the Third Proportional to 127,043.50 and 250,874

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Solution

The third proportional to 127,043.50 and 250,874 is: 495,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,043.50 : 250,874 = 250,874 : x
  2. Step 2: Convert to fraction form
    127,043.50/250,874 = 250,874/x
  3. Step 3: Cross multiply
    127,043.50x = 250,874 × 250,874
  4. Step 4: Simplify right side
    127,043.50x = 62,937,763,876
  5. Step 5: Solve for x
    x = 62,937,763,876/127,043.50
  6. Step 6: Final answer
    x = 495,403.26

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.