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Finding the Third Proportional to 133,951.50 and 181,918.13

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Solution

The third proportional to 133,951.50 and 181,918.13 is: 247,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,951.50 : 181,918.13 = 181,918.13 : x
  2. Step 2: Convert to fraction form
    133,951.50/181,918.13 = 181,918.13/x
  3. Step 3: Cross multiply
    133,951.50x = 181,918.13 × 181,918.13
  4. Step 4: Simplify right side
    133,951.50x = 33,094,204,203.52
  5. Step 5: Solve for x
    x = 33,094,204,203.52/133,951.50
  6. Step 6: Final answer
    x = 247,061.09

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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.