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Finding the Third Proportional to 68,384 and 103,496

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Solution

The third proportional to 68,384 and 103,496 is: 156,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384 : 103,496 = 103,496 : x
  2. Step 2: Convert to fraction form
    68,384/103,496 = 103,496/x
  3. Step 3: Cross multiply
    68,384x = 103,496 × 103,496
  4. Step 4: Simplify right side
    68,384x = 10,711,422,016
  5. Step 5: Solve for x
    x = 10,711,422,016/68,384
  6. Step 6: Final answer
    x = 156,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.