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Finding the Third Proportional to 133,936.50 and 181,899.75

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Solution

The third proportional to 133,936.50 and 181,899.75 is: 247,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,936.50 : 181,899.75 = 181,899.75 : x
  2. Step 2: Convert to fraction form
    133,936.50/181,899.75 = 181,899.75/x
  3. Step 3: Cross multiply
    133,936.50x = 181,899.75 × 181,899.75
  4. Step 4: Simplify right side
    133,936.50x = 33,087,519,050.06
  5. Step 5: Solve for x
    x = 33,087,519,050.06/133,936.50
  6. Step 6: Final answer
    x = 247,038.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.