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Finding the Third Proportional to 49,814 and 107,008

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Solution

The third proportional to 49,814 and 107,008 is: 229,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814 : 107,008 = 107,008 : x
  2. Step 2: Convert to fraction form
    49,814/107,008 = 107,008/x
  3. Step 3: Cross multiply
    49,814x = 107,008 × 107,008
  4. Step 4: Simplify right side
    49,814x = 11,450,712,064
  5. Step 5: Solve for x
    x = 11,450,712,064/49,814
  6. Step 6: Final answer
    x = 229,869.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.