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Finding the Third Proportional to 80,727.75 and 176,209.88

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Solution

The third proportional to 80,727.75 and 176,209.88 is: 384,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,727.75 : 176,209.88 = 176,209.88 : x
  2. Step 2: Convert to fraction form
    80,727.75/176,209.88 = 176,209.88/x
  3. Step 3: Cross multiply
    80,727.75x = 176,209.88 × 176,209.88
  4. Step 4: Simplify right side
    80,727.75x = 31,049,920,047.52
  5. Step 5: Solve for x
    x = 31,049,920,047.52/80,727.75
  6. Step 6: Final answer
    x = 384,625.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.