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Finding the Third Proportional to 68,016 and 148,992

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Solution

The third proportional to 68,016 and 148,992 is: 326,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016 : 148,992 = 148,992 : x
  2. Step 2: Convert to fraction form
    68,016/148,992 = 148,992/x
  3. Step 3: Cross multiply
    68,016x = 148,992 × 148,992
  4. Step 4: Simplify right side
    68,016x = 22,198,616,064
  5. Step 5: Solve for x
    x = 22,198,616,064/68,016
  6. Step 6: Final answer
    x = 326,373.44

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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.