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Finding the Third Proportional to 80,265 and 124,215

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Solution

The third proportional to 80,265 and 124,215 is: 192,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,265 : 124,215 = 124,215 : x
  2. Step 2: Convert to fraction form
    80,265/124,215 = 124,215/x
  3. Step 3: Cross multiply
    80,265x = 124,215 × 124,215
  4. Step 4: Simplify right side
    80,265x = 15,429,366,225
  5. Step 5: Solve for x
    x = 15,429,366,225/80,265
  6. Step 6: Final answer
    x = 192,230.31

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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.