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Finding the Third Proportional to 57,646 and 88,218

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Solution

The third proportional to 57,646 and 88,218 is: 135,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646 : 88,218 = 88,218 : x
  2. Step 2: Convert to fraction form
    57,646/88,218 = 88,218/x
  3. Step 3: Cross multiply
    57,646x = 88,218 × 88,218
  4. Step 4: Simplify right side
    57,646x = 7,782,415,524
  5. Step 5: Solve for x
    x = 7,782,415,524/57,646
  6. Step 6: Final answer
    x = 135,003.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.