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Finding the Third Proportional to 75,660.75 and 170,812.88

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Solution

The third proportional to 75,660.75 and 170,812.88 is: 385,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,660.75 : 170,812.88 = 170,812.88 : x
  2. Step 2: Convert to fraction form
    75,660.75/170,812.88 = 170,812.88/x
  3. Step 3: Cross multiply
    75,660.75x = 170,812.88 × 170,812.88
  4. Step 4: Simplify right side
    75,660.75x = 29,177,038,265.77
  5. Step 5: Solve for x
    x = 29,177,038,265.77/75,660.75
  6. Step 6: Final answer
    x = 385,629.78

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.