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Finding the Third Proportional to 86,979 and 167,046

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Solution

The third proportional to 86,979 and 167,046 is: 320,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,979 : 167,046 = 167,046 : x
  2. Step 2: Convert to fraction form
    86,979/167,046 = 167,046/x
  3. Step 3: Cross multiply
    86,979x = 167,046 × 167,046
  4. Step 4: Simplify right side
    86,979x = 27,904,366,116
  5. Step 5: Solve for x
    x = 27,904,366,116/86,979
  6. Step 6: Final answer
    x = 320,817.28

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.