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Finding the Third Proportional to 49,648 and 108,220

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Solution

The third proportional to 49,648 and 108,220 is: 235,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648 : 108,220 = 108,220 : x
  2. Step 2: Convert to fraction form
    49,648/108,220 = 108,220/x
  3. Step 3: Cross multiply
    49,648x = 108,220 × 108,220
  4. Step 4: Simplify right side
    49,648x = 11,711,568,400
  5. Step 5: Solve for x
    x = 11,711,568,400/49,648
  6. Step 6: Final answer
    x = 235,892.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.