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Finding the Third Proportional to 119,016 and 158,679

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Solution

The third proportional to 119,016 and 158,679 is: 211,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,016 : 158,679 = 158,679 : x
  2. Step 2: Convert to fraction form
    119,016/158,679 = 158,679/x
  3. Step 3: Cross multiply
    119,016x = 158,679 × 158,679
  4. Step 4: Simplify right side
    119,016x = 25,179,025,041
  5. Step 5: Solve for x
    x = 25,179,025,041/119,016
  6. Step 6: Final answer
    x = 211,560.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.