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Finding the Third Proportional to 89,785.69 and 133,899.75

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Solution

The third proportional to 89,785.69 and 133,899.75 is: 199,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,785.69 : 133,899.75 = 133,899.75 : x
  2. Step 2: Convert to fraction form
    89,785.69/133,899.75 = 133,899.75/x
  3. Step 3: Cross multiply
    89,785.69x = 133,899.75 × 133,899.75
  4. Step 4: Simplify right side
    89,785.69x = 17,929,143,050.06
  5. Step 5: Solve for x
    x = 17,929,143,050.06/89,785.69
  6. Step 6: Final answer
    x = 199,688.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.