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Finding the Third Proportional to 48,630 and 100,630

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Solution

The third proportional to 48,630 and 100,630 is: 208,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,630 : 100,630 = 100,630 : x
  2. Step 2: Convert to fraction form
    48,630/100,630 = 100,630/x
  3. Step 3: Cross multiply
    48,630x = 100,630 × 100,630
  4. Step 4: Simplify right side
    48,630x = 10,126,396,900
  5. Step 5: Solve for x
    x = 10,126,396,900/48,630
  6. Step 6: Final answer
    x = 208,233.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.