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Finding the Third Proportional to 49,214 and 108,580

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Solution

The third proportional to 49,214 and 108,580 is: 239,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214 : 108,580 = 108,580 : x
  2. Step 2: Convert to fraction form
    49,214/108,580 = 108,580/x
  3. Step 3: Cross multiply
    49,214x = 108,580 × 108,580
  4. Step 4: Simplify right side
    49,214x = 11,789,616,400
  5. Step 5: Solve for x
    x = 11,789,616,400/49,214
  6. Step 6: Final answer
    x = 239,558.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.