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Finding the Third Proportional to 133,946 and 181,915

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Solution

The third proportional to 133,946 and 181,915 is: 247,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,946 : 181,915 = 181,915 : x
  2. Step 2: Convert to fraction form
    133,946/181,915 = 181,915/x
  3. Step 3: Cross multiply
    133,946x = 181,915 × 181,915
  4. Step 4: Simplify right side
    133,946x = 33,093,067,225
  5. Step 5: Solve for x
    x = 33,093,067,225/133,946
  6. Step 6: Final answer
    x = 247,062.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.