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Finding the Third Proportional to 68,596 and 149,816

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Solution

The third proportional to 68,596 and 149,816 is: 327,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,596 : 149,816 = 149,816 : x
  2. Step 2: Convert to fraction form
    68,596/149,816 = 149,816/x
  3. Step 3: Cross multiply
    68,596x = 149,816 × 149,816
  4. Step 4: Simplify right side
    68,596x = 22,444,833,856
  5. Step 5: Solve for x
    x = 22,444,833,856/68,596
  6. Step 6: Final answer
    x = 327,203.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.