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Finding the Third Proportional to 68,016 and 146,961

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Solution

The third proportional to 68,016 and 146,961 is: 317,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016 : 146,961 = 146,961 : x
  2. Step 2: Convert to fraction form
    68,016/146,961 = 146,961/x
  3. Step 3: Cross multiply
    68,016x = 146,961 × 146,961
  4. Step 4: Simplify right side
    68,016x = 21,597,535,521
  5. Step 5: Solve for x
    x = 21,597,535,521/68,016
  6. Step 6: Final answer
    x = 317,536.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.