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Finding the Third Proportional to 42,081 and 90,723

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Solution

The third proportional to 42,081 and 90,723 is: 195,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,081 : 90,723 = 90,723 : x
  2. Step 2: Convert to fraction form
    42,081/90,723 = 90,723/x
  3. Step 3: Cross multiply
    42,081x = 90,723 × 90,723
  4. Step 4: Simplify right side
    42,081x = 8,230,662,729
  5. Step 5: Solve for x
    x = 8,230,662,729/42,081
  6. Step 6: Final answer
    x = 195,590.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.