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Finding the Third Proportional to 80,913 and 125,630

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Solution

The third proportional to 80,913 and 125,630 is: 195,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,913 : 125,630 = 125,630 : x
  2. Step 2: Convert to fraction form
    80,913/125,630 = 125,630/x
  3. Step 3: Cross multiply
    80,913x = 125,630 × 125,630
  4. Step 4: Simplify right side
    80,913x = 15,782,896,900
  5. Step 5: Solve for x
    x = 15,782,896,900/80,913
  6. Step 6: Final answer
    x = 195,060.09

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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.