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Finding the Third Proportional to 48,850 and 106,448

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Solution

The third proportional to 48,850 and 106,448 is: 231,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,850 : 106,448 = 106,448 : x
  2. Step 2: Convert to fraction form
    48,850/106,448 = 106,448/x
  3. Step 3: Cross multiply
    48,850x = 106,448 × 106,448
  4. Step 4: Simplify right side
    48,850x = 11,331,176,704
  5. Step 5: Solve for x
    x = 11,331,176,704/48,850
  6. Step 6: Final answer
    x = 231,958.58

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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.