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Finding the Third Proportional to 68,864 and 145,928

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Solution

The third proportional to 68,864 and 145,928 is: 309,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,864 : 145,928 = 145,928 : x
  2. Step 2: Convert to fraction form
    68,864/145,928 = 145,928/x
  3. Step 3: Cross multiply
    68,864x = 145,928 × 145,928
  4. Step 4: Simplify right side
    68,864x = 21,294,981,184
  5. Step 5: Solve for x
    x = 21,294,981,184/68,864
  6. Step 6: Final answer
    x = 309,232.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.