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Finding the Third Proportional to 49,488 and 106,746

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Solution

The third proportional to 49,488 and 106,746 is: 230,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 106,746 = 106,746 : x
  2. Step 2: Convert to fraction form
    49,488/106,746 = 106,746/x
  3. Step 3: Cross multiply
    49,488x = 106,746 × 106,746
  4. Step 4: Simplify right side
    49,488x = 11,394,708,516
  5. Step 5: Solve for x
    x = 11,394,708,516/49,488
  6. Step 6: Final answer
    x = 230,251.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.