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Finding the Third Proportional to 133,969 and 184,549

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Solution

The third proportional to 133,969 and 184,549 is: 254,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,969 : 184,549 = 184,549 : x
  2. Step 2: Convert to fraction form
    133,969/184,549 = 184,549/x
  3. Step 3: Cross multiply
    133,969x = 184,549 × 184,549
  4. Step 4: Simplify right side
    133,969x = 34,058,333,401
  5. Step 5: Solve for x
    x = 34,058,333,401/133,969
  6. Step 6: Final answer
    x = 254,225.48

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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.