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Finding the Third Proportional to 36,155.67 and 77,867.58

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Solution

The third proportional to 36,155.67 and 77,867.58 is: 167,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,155.67 : 77,867.58 = 77,867.58 : x
  2. Step 2: Convert to fraction form
    36,155.67/77,867.58 = 77,867.58/x
  3. Step 3: Cross multiply
    36,155.67x = 77,867.58 × 77,867.58
  4. Step 4: Simplify right side
    36,155.67x = 6,063,359,723.05
  5. Step 5: Solve for x
    x = 6,063,359,723.05/36,155.67
  6. Step 6: Final answer
    x = 167,701.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.