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Finding the Third Proportional to 37,630 and 80,132

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Solution

The third proportional to 37,630 and 80,132 is: 170,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630 : 80,132 = 80,132 : x
  2. Step 2: Convert to fraction form
    37,630/80,132 = 80,132/x
  3. Step 3: Cross multiply
    37,630x = 80,132 × 80,132
  4. Step 4: Simplify right side
    37,630x = 6,421,137,424
  5. Step 5: Solve for x
    x = 6,421,137,424/37,630
  6. Step 6: Final answer
    x = 170,638.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.