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Finding the Third Proportional to 89,131.50 and 133,716.38

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Solution

The third proportional to 89,131.50 and 133,716.38 is: 200,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,131.50 : 133,716.38 = 133,716.38 : x
  2. Step 2: Convert to fraction form
    89,131.50/133,716.38 = 133,716.38/x
  3. Step 3: Cross multiply
    89,131.50x = 133,716.38 × 133,716.38
  4. Step 4: Simplify right side
    89,131.50x = 17,880,068,943.14
  5. Step 5: Solve for x
    x = 17,880,068,943.14/89,131.50
  6. Step 6: Final answer
    x = 200,603.25

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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.