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Finding the Third Proportional to 56,471 and 75,285

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Solution

The third proportional to 56,471 and 75,285 is: 100,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471 : 75,285 = 75,285 : x
  2. Step 2: Convert to fraction form
    56,471/75,285 = 75,285/x
  3. Step 3: Cross multiply
    56,471x = 75,285 × 75,285
  4. Step 4: Simplify right side
    56,471x = 5,667,831,225
  5. Step 5: Solve for x
    x = 5,667,831,225/56,471
  6. Step 6: Final answer
    x = 100,367.11

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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.