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Finding the Third Proportional to 96,057.75 and 138,355.50

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Solution

The third proportional to 96,057.75 and 138,355.50 is: 199,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,057.75 : 138,355.50 = 138,355.50 : x
  2. Step 2: Convert to fraction form
    96,057.75/138,355.50 = 138,355.50/x
  3. Step 3: Cross multiply
    96,057.75x = 138,355.50 × 138,355.50
  4. Step 4: Simplify right side
    96,057.75x = 19,142,244,380.25
  5. Step 5: Solve for x
    x = 19,142,244,380.25/96,057.75
  6. Step 6: Final answer
    x = 199,278.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.