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Finding the Third Proportional to 107,011 and 165,927

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Solution

The third proportional to 107,011 and 165,927 is: 257,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,011 : 165,927 = 165,927 : x
  2. Step 2: Convert to fraction form
    107,011/165,927 = 165,927/x
  3. Step 3: Cross multiply
    107,011x = 165,927 × 165,927
  4. Step 4: Simplify right side
    107,011x = 27,531,769,329
  5. Step 5: Solve for x
    x = 27,531,769,329/107,011
  6. Step 6: Final answer
    x = 257,279.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.