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Finding the Third Proportional to 80,730 and 175,068

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Solution

The third proportional to 80,730 and 175,068 is: 379,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730 : 175,068 = 175,068 : x
  2. Step 2: Convert to fraction form
    80,730/175,068 = 175,068/x
  3. Step 3: Cross multiply
    80,730x = 175,068 × 175,068
  4. Step 4: Simplify right side
    80,730x = 30,648,804,624
  5. Step 5: Solve for x
    x = 30,648,804,624/80,730
  6. Step 6: Final answer
    x = 379,645.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.