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Finding the Third Proportional to 49,604 and 108,524

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Solution

The third proportional to 49,604 and 108,524 is: 237,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,604 : 108,524 = 108,524 : x
  2. Step 2: Convert to fraction form
    49,604/108,524 = 108,524/x
  3. Step 3: Cross multiply
    49,604x = 108,524 × 108,524
  4. Step 4: Simplify right side
    49,604x = 11,777,458,576
  5. Step 5: Solve for x
    x = 11,777,458,576/49,604
  6. Step 6: Final answer
    x = 237,429.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.