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Finding the Third Proportional to 49,272 and 104,448

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Solution

The third proportional to 49,272 and 104,448 is: 221,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,272 : 104,448 = 104,448 : x
  2. Step 2: Convert to fraction form
    49,272/104,448 = 104,448/x
  3. Step 3: Cross multiply
    49,272x = 104,448 × 104,448
  4. Step 4: Simplify right side
    49,272x = 10,909,384,704
  5. Step 5: Solve for x
    x = 10,909,384,704/49,272
  6. Step 6: Final answer
    x = 221,411.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.