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Finding the Third Proportional to 107,893.13 and 165,124.13

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Solution

The third proportional to 107,893.13 and 165,124.13 is: 252,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,893.13 : 165,124.13 = 165,124.13 : x
  2. Step 2: Convert to fraction form
    107,893.13/165,124.13 = 165,124.13/x
  3. Step 3: Cross multiply
    107,893.13x = 165,124.13 × 165,124.13
  4. Step 4: Simplify right side
    107,893.13x = 27,265,976,657.02
  5. Step 5: Solve for x
    x = 27,265,976,657.02/107,893.13
  6. Step 6: Final answer
    x = 252,712.83

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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.