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Finding the Third Proportional to 68,914 and 150,748

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Solution

The third proportional to 68,914 and 150,748 is: 329,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,914 : 150,748 = 150,748 : x
  2. Step 2: Convert to fraction form
    68,914/150,748 = 150,748/x
  3. Step 3: Cross multiply
    68,914x = 150,748 × 150,748
  4. Step 4: Simplify right side
    68,914x = 22,724,959,504
  5. Step 5: Solve for x
    x = 22,724,959,504/68,914
  6. Step 6: Final answer
    x = 329,758.24

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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.