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Finding the Third Proportional to 113,890 and 166,444

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Solution

The third proportional to 113,890 and 166,444 is: 243,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,890 : 166,444 = 166,444 : x
  2. Step 2: Convert to fraction form
    113,890/166,444 = 166,444/x
  3. Step 3: Cross multiply
    113,890x = 166,444 × 166,444
  4. Step 4: Simplify right side
    113,890x = 27,703,605,136
  5. Step 5: Solve for x
    x = 27,703,605,136/113,890
  6. Step 6: Final answer
    x = 243,248.79

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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.