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Finding the Third Proportional to 133,976 and 184,560

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Solution

The third proportional to 133,976 and 184,560 is: 254,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,976 : 184,560 = 184,560 : x
  2. Step 2: Convert to fraction form
    133,976/184,560 = 184,560/x
  3. Step 3: Cross multiply
    133,976x = 184,560 × 184,560
  4. Step 4: Simplify right side
    133,976x = 34,062,393,600
  5. Step 5: Solve for x
    x = 34,062,393,600/133,976
  6. Step 6: Final answer
    x = 254,242.50

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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.