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Finding the Third Proportional to 107,489 and 166,998

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Solution

The third proportional to 107,489 and 166,998 is: 259,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,489 : 166,998 = 166,998 : x
  2. Step 2: Convert to fraction form
    107,489/166,998 = 166,998/x
  3. Step 3: Cross multiply
    107,489x = 166,998 × 166,998
  4. Step 4: Simplify right side
    107,489x = 27,888,332,004
  5. Step 5: Solve for x
    x = 27,888,332,004/107,489
  6. Step 6: Final answer
    x = 259,452.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.