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Finding the Third Proportional to 75,851.75 and 166,283.13

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Solution

The third proportional to 75,851.75 and 166,283.13 is: 364,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851.75 : 166,283.13 = 166,283.13 : x
  2. Step 2: Convert to fraction form
    75,851.75/166,283.13 = 166,283.13/x
  3. Step 3: Cross multiply
    75,851.75x = 166,283.13 × 166,283.13
  4. Step 4: Simplify right side
    75,851.75x = 27,650,077,659.77
  5. Step 5: Solve for x
    x = 27,650,077,659.77/75,851.75
  6. Step 6: Final answer
    x = 364,527.88

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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.