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Finding the Third Proportional to 107,660.25 and 165,256.88

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Solution

The third proportional to 107,660.25 and 165,256.88 is: 253,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,660.25 : 165,256.88 = 165,256.88 : x
  2. Step 2: Convert to fraction form
    107,660.25/165,256.88 = 165,256.88/x
  3. Step 3: Cross multiply
    107,660.25x = 165,256.88 × 165,256.88
  4. Step 4: Simplify right side
    107,660.25x = 27,309,834,734.77
  5. Step 5: Solve for x
    x = 27,309,834,734.77/107,660.25
  6. Step 6: Final answer
    x = 253,666.83

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