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Finding the Third Proportional to 49,886 and 107,685

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Solution

The third proportional to 49,886 and 107,685 is: 232,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886 : 107,685 = 107,685 : x
  2. Step 2: Convert to fraction form
    49,886/107,685 = 107,685/x
  3. Step 3: Cross multiply
    49,886x = 107,685 × 107,685
  4. Step 4: Simplify right side
    49,886x = 11,596,059,225
  5. Step 5: Solve for x
    x = 11,596,059,225/49,886
  6. Step 6: Final answer
    x = 232,451.17

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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.