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Finding the Third Proportional to 80,257.50 and 124,443.75

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Solution

The third proportional to 80,257.50 and 124,443.75 is: 192,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257.50 : 124,443.75 = 124,443.75 : x
  2. Step 2: Convert to fraction form
    80,257.50/124,443.75 = 124,443.75/x
  3. Step 3: Cross multiply
    80,257.50x = 124,443.75 × 124,443.75
  4. Step 4: Simplify right side
    80,257.50x = 15,486,246,914.06
  5. Step 5: Solve for x
    x = 15,486,246,914.06/80,257.50
  6. Step 6: Final answer
    x = 192,957.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.