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Finding the Third Proportional to 75,829.50 and 165,150.56

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Solution

The third proportional to 75,829.50 and 165,150.56 is: 359,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829.50 : 165,150.56 = 165,150.56 : x
  2. Step 2: Convert to fraction form
    75,829.50/165,150.56 = 165,150.56/x
  3. Step 3: Cross multiply
    75,829.50x = 165,150.56 × 165,150.56
  4. Step 4: Simplify right side
    75,829.50x = 27,274,708,294.07
  5. Step 5: Solve for x
    x = 27,274,708,294.07/75,829.50
  6. Step 6: Final answer
    x = 359,684.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.