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Finding the Third Proportional to 115,789.50 and 173,961

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Solution

The third proportional to 115,789.50 and 173,961 is: 261,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,789.50 : 173,961 = 173,961 : x
  2. Step 2: Convert to fraction form
    115,789.50/173,961 = 173,961/x
  3. Step 3: Cross multiply
    115,789.50x = 173,961 × 173,961
  4. Step 4: Simplify right side
    115,789.50x = 30,262,429,521
  5. Step 5: Solve for x
    x = 30,262,429,521/115,789.50
  6. Step 6: Final answer
    x = 261,357.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.