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Finding the Third Proportional to 49,866 and 106,737

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Solution

The third proportional to 49,866 and 106,737 is: 228,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866 : 106,737 = 106,737 : x
  2. Step 2: Convert to fraction form
    49,866/106,737 = 106,737/x
  3. Step 3: Cross multiply
    49,866x = 106,737 × 106,737
  4. Step 4: Simplify right side
    49,866x = 11,392,787,169
  5. Step 5: Solve for x
    x = 11,392,787,169/49,866
  6. Step 6: Final answer
    x = 228,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.