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Finding the Third Proportional to 133,986 and 184,569

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Solution

The third proportional to 133,986 and 184,569 is: 254,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 184,569 = 184,569 : x
  2. Step 2: Convert to fraction form
    133,986/184,569 = 184,569/x
  3. Step 3: Cross multiply
    133,986x = 184,569 × 184,569
  4. Step 4: Simplify right side
    133,986x = 34,065,715,761
  5. Step 5: Solve for x
    x = 34,065,715,761/133,986
  6. Step 6: Final answer
    x = 254,248.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.