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Finding the Third Proportional to 57,408 and 84,226

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Solution

The third proportional to 57,408 and 84,226 is: 123,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408 : 84,226 = 84,226 : x
  2. Step 2: Convert to fraction form
    57,408/84,226 = 84,226/x
  3. Step 3: Cross multiply
    57,408x = 84,226 × 84,226
  4. Step 4: Simplify right side
    57,408x = 7,094,019,076
  5. Step 5: Solve for x
    x = 7,094,019,076/57,408
  6. Step 6: Final answer
    x = 123,571.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.