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Finding the Third Proportional to 113,885 and 166,438

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Solution

The third proportional to 113,885 and 166,438 is: 243,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,885 : 166,438 = 166,438 : x
  2. Step 2: Convert to fraction form
    113,885/166,438 = 166,438/x
  3. Step 3: Cross multiply
    113,885x = 166,438 × 166,438
  4. Step 4: Simplify right side
    113,885x = 27,701,607,844
  5. Step 5: Solve for x
    x = 27,701,607,844/113,885
  6. Step 6: Final answer
    x = 243,241.94

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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.