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Finding the Third Proportional to 113,074 and 166,471

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Solution

The third proportional to 113,074 and 166,471 is: 245,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,074 : 166,471 = 166,471 : x
  2. Step 2: Convert to fraction form
    113,074/166,471 = 166,471/x
  3. Step 3: Cross multiply
    113,074x = 166,471 × 166,471
  4. Step 4: Simplify right side
    113,074x = 27,712,593,841
  5. Step 5: Solve for x
    x = 27,712,593,841/113,074
  6. Step 6: Final answer
    x = 245,083.70

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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.