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Finding the Third Proportional to 67,181.91 and 103,119.33

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Solution

The third proportional to 67,181.91 and 103,119.33 is: 158,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,181.91 : 103,119.33 = 103,119.33 : x
  2. Step 2: Convert to fraction form
    67,181.91/103,119.33 = 103,119.33/x
  3. Step 3: Cross multiply
    67,181.91x = 103,119.33 × 103,119.33
  4. Step 4: Simplify right side
    67,181.91x = 10,633,595,832.95
  5. Step 5: Solve for x
    x = 10,633,595,832.95/67,181.91
  6. Step 6: Final answer
    x = 158,280.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.