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Finding the Third Proportional to 68,555 and 150,475

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Solution

The third proportional to 68,555 and 150,475 is: 330,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,555 : 150,475 = 150,475 : x
  2. Step 2: Convert to fraction form
    68,555/150,475 = 150,475/x
  3. Step 3: Cross multiply
    68,555x = 150,475 × 150,475
  4. Step 4: Simplify right side
    68,555x = 22,642,725,625
  5. Step 5: Solve for x
    x = 22,642,725,625/68,555
  6. Step 6: Final answer
    x = 330,285.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.