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Finding the Third Proportional to 40,324 and 94,170

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Solution

The third proportional to 40,324 and 94,170 is: 219,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,324 : 94,170 = 94,170 : x
  2. Step 2: Convert to fraction form
    40,324/94,170 = 94,170/x
  3. Step 3: Cross multiply
    40,324x = 94,170 × 94,170
  4. Step 4: Simplify right side
    40,324x = 8,867,988,900
  5. Step 5: Solve for x
    x = 8,867,988,900/40,324
  6. Step 6: Final answer
    x = 219,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.