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Finding the Third Proportional to 113,931 and 166,481

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Solution

The third proportional to 113,931 and 166,481 is: 243,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,931 : 166,481 = 166,481 : x
  2. Step 2: Convert to fraction form
    113,931/166,481 = 166,481/x
  3. Step 3: Cross multiply
    113,931x = 166,481 × 166,481
  4. Step 4: Simplify right side
    113,931x = 27,715,923,361
  5. Step 5: Solve for x
    x = 27,715,923,361/113,931
  6. Step 6: Final answer
    x = 243,269.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.