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Finding the Third Proportional to 80,271 and 175,767

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Solution

The third proportional to 80,271 and 175,767 is: 384,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,271 : 175,767 = 175,767 : x
  2. Step 2: Convert to fraction form
    80,271/175,767 = 175,767/x
  3. Step 3: Cross multiply
    80,271x = 175,767 × 175,767
  4. Step 4: Simplify right side
    80,271x = 30,894,038,289
  5. Step 5: Solve for x
    x = 30,894,038,289/80,271
  6. Step 6: Final answer
    x = 384,871.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.