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Finding the Third Proportional to 80,630 and 175,108

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Solution

The third proportional to 80,630 and 175,108 is: 380,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,630 : 175,108 = 175,108 : x
  2. Step 2: Convert to fraction form
    80,630/175,108 = 175,108/x
  3. Step 3: Cross multiply
    80,630x = 175,108 × 175,108
  4. Step 4: Simplify right side
    80,630x = 30,662,811,664
  5. Step 5: Solve for x
    x = 30,662,811,664/80,630
  6. Step 6: Final answer
    x = 380,290.36

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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.