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Finding the Third Proportional to 71,986 and 157,074

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Solution

The third proportional to 71,986 and 157,074 is: 342,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,986 : 157,074 = 157,074 : x
  2. Step 2: Convert to fraction form
    71,986/157,074 = 157,074/x
  3. Step 3: Cross multiply
    71,986x = 157,074 × 157,074
  4. Step 4: Simplify right side
    71,986x = 24,672,241,476
  5. Step 5: Solve for x
    x = 24,672,241,476/71,986
  6. Step 6: Final answer
    x = 342,736.66

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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.