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Finding the Third Proportional to 57,066 and 75,738

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Solution

The third proportional to 57,066 and 75,738 is: 100,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066 : 75,738 = 75,738 : x
  2. Step 2: Convert to fraction form
    57,066/75,738 = 75,738/x
  3. Step 3: Cross multiply
    57,066x = 75,738 × 75,738
  4. Step 4: Simplify right side
    57,066x = 5,736,244,644
  5. Step 5: Solve for x
    x = 5,736,244,644/57,066
  6. Step 6: Final answer
    x = 100,519.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.