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Finding the Third Proportional to 96,036.75 and 140,363.44

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Solution

The third proportional to 96,036.75 and 140,363.44 is: 205,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,036.75 : 140,363.44 = 140,363.44 : x
  2. Step 2: Convert to fraction form
    96,036.75/140,363.44 = 140,363.44/x
  3. Step 3: Cross multiply
    96,036.75x = 140,363.44 × 140,363.44
  4. Step 4: Simplify right side
    96,036.75x = 19,701,894,586.82
  5. Step 5: Solve for x
    x = 19,701,894,586.82/96,036.75
  6. Step 6: Final answer
    x = 205,149.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.