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Finding the Third Proportional to 113,142 and 166,275

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Solution

The third proportional to 113,142 and 166,275 is: 244,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,142 : 166,275 = 166,275 : x
  2. Step 2: Convert to fraction form
    113,142/166,275 = 166,275/x
  3. Step 3: Cross multiply
    113,142x = 166,275 × 166,275
  4. Step 4: Simplify right side
    113,142x = 27,647,375,625
  5. Step 5: Solve for x
    x = 27,647,375,625/113,142
  6. Step 6: Final answer
    x = 244,359.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.