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Finding the Third Proportional to 36,161.81 and 74,085.38

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Solution

The third proportional to 36,161.81 and 74,085.38 is: 151,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,161.81 : 74,085.38 = 74,085.38 : x
  2. Step 2: Convert to fraction form
    36,161.81/74,085.38 = 74,085.38/x
  3. Step 3: Cross multiply
    36,161.81x = 74,085.38 × 74,085.38
  4. Step 4: Simplify right side
    36,161.81x = 5,488,642,788.89
  5. Step 5: Solve for x
    x = 5,488,642,788.89/36,161.81
  6. Step 6: Final answer
    x = 151,780.08

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.