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Finding the Third Proportional to 113,886 and 166,439

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Solution

The third proportional to 113,886 and 166,439 is: 243,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886 : 166,439 = 166,439 : x
  2. Step 2: Convert to fraction form
    113,886/166,439 = 166,439/x
  3. Step 3: Cross multiply
    113,886x = 166,439 × 166,439
  4. Step 4: Simplify right side
    113,886x = 27,701,940,721
  5. Step 5: Solve for x
    x = 27,701,940,721/113,886
  6. Step 6: Final answer
    x = 243,242.72

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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.