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Finding the Third Proportional to 59,630 and 80,697

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Solution

The third proportional to 59,630 and 80,697 is: 109,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,630 : 80,697 = 80,697 : x
  2. Step 2: Convert to fraction form
    59,630/80,697 = 80,697/x
  3. Step 3: Cross multiply
    59,630x = 80,697 × 80,697
  4. Step 4: Simplify right side
    59,630x = 6,512,005,809
  5. Step 5: Solve for x
    x = 6,512,005,809/59,630
  6. Step 6: Final answer
    x = 109,206.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.