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Finding the Third Proportional to 86,980 and 167,048

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Solution

The third proportional to 86,980 and 167,048 is: 320,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980 : 167,048 = 167,048 : x
  2. Step 2: Convert to fraction form
    86,980/167,048 = 167,048/x
  3. Step 3: Cross multiply
    86,980x = 167,048 × 167,048
  4. Step 4: Simplify right side
    86,980x = 27,905,034,304
  5. Step 5: Solve for x
    x = 27,905,034,304/86,980
  6. Step 6: Final answer
    x = 320,821.27

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Why These Related Problems?

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