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Finding the Third Proportional to 80,604 and 125,229

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Solution

The third proportional to 80,604 and 125,229 is: 194,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,604 : 125,229 = 125,229 : x
  2. Step 2: Convert to fraction form
    80,604/125,229 = 125,229/x
  3. Step 3: Cross multiply
    80,604x = 125,229 × 125,229
  4. Step 4: Simplify right side
    80,604x = 15,682,302,441
  5. Step 5: Solve for x
    x = 15,682,302,441/80,604
  6. Step 6: Final answer
    x = 194,559.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.