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Finding the Third Proportional to 133,975 and 181,942

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Solution

The third proportional to 133,975 and 181,942 is: 247,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,975 : 181,942 = 181,942 : x
  2. Step 2: Convert to fraction form
    133,975/181,942 = 181,942/x
  3. Step 3: Cross multiply
    133,975x = 181,942 × 181,942
  4. Step 4: Simplify right side
    133,975x = 33,102,891,364
  5. Step 5: Solve for x
    x = 33,102,891,364/133,975
  6. Step 6: Final answer
    x = 247,082.60

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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.