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Finding the Third Proportional to 49,371 and 108,396

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Solution

The third proportional to 49,371 and 108,396 is: 237,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,371 : 108,396 = 108,396 : x
  2. Step 2: Convert to fraction form
    49,371/108,396 = 108,396/x
  3. Step 3: Cross multiply
    49,371x = 108,396 × 108,396
  4. Step 4: Simplify right side
    49,371x = 11,749,692,816
  5. Step 5: Solve for x
    x = 11,749,692,816/49,371
  6. Step 6: Final answer
    x = 237,987.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.