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Finding the Third Proportional to 49,448 and 107,284

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Solution

The third proportional to 49,448 and 107,284 is: 232,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,448 : 107,284 = 107,284 : x
  2. Step 2: Convert to fraction form
    49,448/107,284 = 107,284/x
  3. Step 3: Cross multiply
    49,448x = 107,284 × 107,284
  4. Step 4: Simplify right side
    49,448x = 11,509,856,656
  5. Step 5: Solve for x
    x = 11,509,856,656/49,448
  6. Step 6: Final answer
    x = 232,766.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.