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Finding the Third Proportional to 72,777 and 115,728

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Solution

The third proportional to 72,777 and 115,728 is: 184,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,777 : 115,728 = 115,728 : x
  2. Step 2: Convert to fraction form
    72,777/115,728 = 115,728/x
  3. Step 3: Cross multiply
    72,777x = 115,728 × 115,728
  4. Step 4: Simplify right side
    72,777x = 13,392,969,984
  5. Step 5: Solve for x
    x = 13,392,969,984/72,777
  6. Step 6: Final answer
    x = 184,027.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.