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Finding the Third Proportional to 40,118 and 62,369

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Solution

The third proportional to 40,118 and 62,369 is: 96,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,118 : 62,369 = 62,369 : x
  2. Step 2: Convert to fraction form
    40,118/62,369 = 62,369/x
  3. Step 3: Cross multiply
    40,118x = 62,369 × 62,369
  4. Step 4: Simplify right side
    40,118x = 3,889,892,161
  5. Step 5: Solve for x
    x = 3,889,892,161/40,118
  6. Step 6: Final answer
    x = 96,961.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.