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Finding the Third Proportional to 76,626 and 126,630

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Solution

The third proportional to 76,626 and 126,630 is: 209,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,626 : 126,630 = 126,630 : x
  2. Step 2: Convert to fraction form
    76,626/126,630 = 126,630/x
  3. Step 3: Cross multiply
    76,626x = 126,630 × 126,630
  4. Step 4: Simplify right side
    76,626x = 16,035,156,900
  5. Step 5: Solve for x
    x = 16,035,156,900/76,626
  6. Step 6: Final answer
    x = 209,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.