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Finding the Third Proportional to 89,074.69 and 133,520.91

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Solution

The third proportional to 89,074.69 and 133,520.91 is: 200,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074.69 : 133,520.91 = 133,520.91 : x
  2. Step 2: Convert to fraction form
    89,074.69/133,520.91 = 133,520.91/x
  3. Step 3: Cross multiply
    89,074.69x = 133,520.91 × 133,520.91
  4. Step 4: Simplify right side
    89,074.69x = 17,827,832,405.82
  5. Step 5: Solve for x
    x = 17,827,832,405.82/89,074.69
  6. Step 6: Final answer
    x = 200,144.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.