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Finding the Third Proportional to 96,201.75 and 147,993

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Solution

The third proportional to 96,201.75 and 147,993 is: 227,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,201.75 : 147,993 = 147,993 : x
  2. Step 2: Convert to fraction form
    96,201.75/147,993 = 147,993/x
  3. Step 3: Cross multiply
    96,201.75x = 147,993 × 147,993
  4. Step 4: Simplify right side
    96,201.75x = 21,901,928,049
  5. Step 5: Solve for x
    x = 21,901,928,049/96,201.75
  6. Step 6: Final answer
    x = 227,666.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.