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Finding the Third Proportional to 68,029.50 and 158,148.75

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Solution

The third proportional to 68,029.50 and 158,148.75 is: 367,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,029.50 : 158,148.75 = 158,148.75 : x
  2. Step 2: Convert to fraction form
    68,029.50/158,148.75 = 158,148.75/x
  3. Step 3: Cross multiply
    68,029.50x = 158,148.75 × 158,148.75
  4. Step 4: Simplify right side
    68,029.50x = 25,011,027,126.56
  5. Step 5: Solve for x
    x = 25,011,027,126.56/68,029.50
  6. Step 6: Final answer
    x = 367,649.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.