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Finding the Third Proportional to 133,972.50 and 184,551

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Solution

The third proportional to 133,972.50 and 184,551 is: 254,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,972.50 : 184,551 = 184,551 : x
  2. Step 2: Convert to fraction form
    133,972.50/184,551 = 184,551/x
  3. Step 3: Cross multiply
    133,972.50x = 184,551 × 184,551
  4. Step 4: Simplify right side
    133,972.50x = 34,059,071,601
  5. Step 5: Solve for x
    x = 34,059,071,601/133,972.50
  6. Step 6: Final answer
    x = 254,224.35

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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.