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Finding the Third Proportional to 63,309.75 and 147,906.38

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Solution

The third proportional to 63,309.75 and 147,906.38 is: 345,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,309.75 : 147,906.38 = 147,906.38 : x
  2. Step 2: Convert to fraction form
    63,309.75/147,906.38 = 147,906.38/x
  3. Step 3: Cross multiply
    63,309.75x = 147,906.38 × 147,906.38
  4. Step 4: Simplify right side
    63,309.75x = 21,876,295,765.64
  5. Step 5: Solve for x
    x = 21,876,295,765.64/63,309.75
  6. Step 6: Final answer
    x = 345,543.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.