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Finding the Third Proportional to 107,710 and 165,327

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Solution

The third proportional to 107,710 and 165,327 is: 253,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710 : 165,327 = 165,327 : x
  2. Step 2: Convert to fraction form
    107,710/165,327 = 165,327/x
  3. Step 3: Cross multiply
    107,710x = 165,327 × 165,327
  4. Step 4: Simplify right side
    107,710x = 27,333,016,929
  5. Step 5: Solve for x
    x = 27,333,016,929/107,710
  6. Step 6: Final answer
    x = 253,764.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.