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Finding the Third Proportional to 107,013 and 158,979

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Solution

The third proportional to 107,013 and 158,979 is: 236,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,013 : 158,979 = 158,979 : x
  2. Step 2: Convert to fraction form
    107,013/158,979 = 158,979/x
  3. Step 3: Cross multiply
    107,013x = 158,979 × 158,979
  4. Step 4: Simplify right side
    107,013x = 25,274,322,441
  5. Step 5: Solve for x
    x = 25,274,322,441/107,013
  6. Step 6: Final answer
    x = 236,179.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.