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Finding the Third Proportional to 57,056 and 75,722

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Solution

The third proportional to 57,056 and 75,722 is: 100,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056 : 75,722 = 75,722 : x
  2. Step 2: Convert to fraction form
    57,056/75,722 = 75,722/x
  3. Step 3: Cross multiply
    57,056x = 75,722 × 75,722
  4. Step 4: Simplify right side
    57,056x = 5,733,821,284
  5. Step 5: Solve for x
    x = 5,733,821,284/57,056
  6. Step 6: Final answer
    x = 100,494.62

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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.