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Finding the Third Proportional to 89,074 and 133,179

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Solution

The third proportional to 89,074 and 133,179 is: 199,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074 : 133,179 = 133,179 : x
  2. Step 2: Convert to fraction form
    89,074/133,179 = 133,179/x
  3. Step 3: Cross multiply
    89,074x = 133,179 × 133,179
  4. Step 4: Simplify right side
    89,074x = 17,736,646,041
  5. Step 5: Solve for x
    x = 17,736,646,041/89,074
  6. Step 6: Final answer
    x = 199,122.60

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Why These Related Problems?

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