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Finding the Third Proportional to 119,778.75 and 186,239.25

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Solution

The third proportional to 119,778.75 and 186,239.25 is: 289,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,778.75 : 186,239.25 = 186,239.25 : x
  2. Step 2: Convert to fraction form
    119,778.75/186,239.25 = 186,239.25/x
  3. Step 3: Cross multiply
    119,778.75x = 186,239.25 × 186,239.25
  4. Step 4: Simplify right side
    119,778.75x = 34,685,058,240.56
  5. Step 5: Solve for x
    x = 34,685,058,240.56/119,778.75
  6. Step 6: Final answer
    x = 289,576.06

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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.