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Finding the Third Proportional to 49,642 and 108,040

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Solution

The third proportional to 49,642 and 108,040 is: 235,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642 : 108,040 = 108,040 : x
  2. Step 2: Convert to fraction form
    49,642/108,040 = 108,040/x
  3. Step 3: Cross multiply
    49,642x = 108,040 × 108,040
  4. Step 4: Simplify right side
    49,642x = 11,672,641,600
  5. Step 5: Solve for x
    x = 11,672,641,600/49,642
  6. Step 6: Final answer
    x = 235,136.41

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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.