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Finding the Third Proportional to 75,340.13 and 165,133.13

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Solution

The third proportional to 75,340.13 and 165,133.13 is: 361,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.13 : 165,133.13 = 165,133.13 : x
  2. Step 2: Convert to fraction form
    75,340.13/165,133.13 = 165,133.13/x
  3. Step 3: Cross multiply
    75,340.13x = 165,133.13 × 165,133.13
  4. Step 4: Simplify right side
    75,340.13x = 27,268,948,972.27
  5. Step 5: Solve for x
    x = 27,268,948,972.27/75,340.13
  6. Step 6: Final answer
    x = 361,944.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.