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Finding the Third Proportional to 133,998 and 181,983

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Solution

The third proportional to 133,998 and 181,983 is: 247,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,998 : 181,983 = 181,983 : x
  2. Step 2: Convert to fraction form
    133,998/181,983 = 181,983/x
  3. Step 3: Cross multiply
    133,998x = 181,983 × 181,983
  4. Step 4: Simplify right side
    133,998x = 33,117,812,289
  5. Step 5: Solve for x
    x = 33,117,812,289/133,998
  6. Step 6: Final answer
    x = 247,151.54

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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.