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Finding the Third Proportional to 62,340 and 85,171

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Solution

The third proportional to 62,340 and 85,171 is: 116,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,340 : 85,171 = 85,171 : x
  2. Step 2: Convert to fraction form
    62,340/85,171 = 85,171/x
  3. Step 3: Cross multiply
    62,340x = 85,171 × 85,171
  4. Step 4: Simplify right side
    62,340x = 7,254,099,241
  5. Step 5: Solve for x
    x = 7,254,099,241/62,340
  6. Step 6: Final answer
    x = 116,363.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.