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Finding the Third Proportional to 49,630 and 110,330

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Solution

The third proportional to 49,630 and 110,330 is: 245,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,630 : 110,330 = 110,330 : x
  2. Step 2: Convert to fraction form
    49,630/110,330 = 110,330/x
  3. Step 3: Cross multiply
    49,630x = 110,330 × 110,330
  4. Step 4: Simplify right side
    49,630x = 12,172,708,900
  5. Step 5: Solve for x
    x = 12,172,708,900/49,630
  6. Step 6: Final answer
    x = 245,269.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.