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Finding the Third Proportional to 71,759.25 and 147,102.75

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Solution

The third proportional to 71,759.25 and 147,102.75 is: 301,553.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,759.25 : 147,102.75 = 147,102.75 : x
  2. Step 2: Convert to fraction form
    71,759.25/147,102.75 = 147,102.75/x
  3. Step 3: Cross multiply
    71,759.25x = 147,102.75 × 147,102.75
  4. Step 4: Simplify right side
    71,759.25x = 21,639,219,057.56
  5. Step 5: Solve for x
    x = 21,639,219,057.56/71,759.25
  6. Step 6: Final answer
    x = 301,553.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.