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Finding the Third Proportional to 49,901 and 106,714

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Solution

The third proportional to 49,901 and 106,714 is: 228,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901 : 106,714 = 106,714 : x
  2. Step 2: Convert to fraction form
    49,901/106,714 = 106,714/x
  3. Step 3: Cross multiply
    49,901x = 106,714 × 106,714
  4. Step 4: Simplify right side
    49,901x = 11,387,877,796
  5. Step 5: Solve for x
    x = 11,387,877,796/49,901
  6. Step 6: Final answer
    x = 228,209.41

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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.