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Finding the Third Proportional to 92,151.75 and 123,832.13

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Solution

The third proportional to 92,151.75 and 123,832.13 is: 166,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,151.75 : 123,832.13 = 123,832.13 : x
  2. Step 2: Convert to fraction form
    92,151.75/123,832.13 = 123,832.13/x
  3. Step 3: Cross multiply
    92,151.75x = 123,832.13 × 123,832.13
  4. Step 4: Simplify right side
    92,151.75x = 15,334,395,182.02
  5. Step 5: Solve for x
    x = 15,334,395,182.02/92,151.75
  6. Step 6: Final answer
    x = 166,403.73

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.