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Finding the Third Proportional to 49,714 and 96,908

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Solution

The third proportional to 49,714 and 96,908 is: 188,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714 : 96,908 = 96,908 : x
  2. Step 2: Convert to fraction form
    49,714/96,908 = 96,908/x
  3. Step 3: Cross multiply
    49,714x = 96,908 × 96,908
  4. Step 4: Simplify right side
    49,714x = 9,391,160,464
  5. Step 5: Solve for x
    x = 9,391,160,464/49,714
  6. Step 6: Final answer
    x = 188,903.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.