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Finding the Third Proportional to 89,936.44 and 129,932.44

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Solution

The third proportional to 89,936.44 and 129,932.44 is: 187,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,936.44 : 129,932.44 = 129,932.44 : x
  2. Step 2: Convert to fraction form
    89,936.44/129,932.44 = 129,932.44/x
  3. Step 3: Cross multiply
    89,936.44x = 129,932.44 × 129,932.44
  4. Step 4: Simplify right side
    89,936.44x = 16,882,438,314.69
  5. Step 5: Solve for x
    x = 16,882,438,314.69/89,936.44
  6. Step 6: Final answer
    x = 187,715.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.