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Finding the Third Proportional to 110,842 and 171,980

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Solution

The third proportional to 110,842 and 171,980 is: 266,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,842 : 171,980 = 171,980 : x
  2. Step 2: Convert to fraction form
    110,842/171,980 = 171,980/x
  3. Step 3: Cross multiply
    110,842x = 171,980 × 171,980
  4. Step 4: Simplify right side
    110,842x = 29,577,120,400
  5. Step 5: Solve for x
    x = 29,577,120,400/110,842
  6. Step 6: Final answer
    x = 266,840.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.