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Finding the Third Proportional to 68,264 and 141,979

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Solution

The third proportional to 68,264 and 141,979 is: 295,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264 : 141,979 = 141,979 : x
  2. Step 2: Convert to fraction form
    68,264/141,979 = 141,979/x
  3. Step 3: Cross multiply
    68,264x = 141,979 × 141,979
  4. Step 4: Simplify right side
    68,264x = 20,158,036,441
  5. Step 5: Solve for x
    x = 20,158,036,441/68,264
  6. Step 6: Final answer
    x = 295,295.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.