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Finding the Third Proportional to 40,469 and 94,522

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Solution

The third proportional to 40,469 and 94,522 is: 220,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,469 : 94,522 = 94,522 : x
  2. Step 2: Convert to fraction form
    40,469/94,522 = 94,522/x
  3. Step 3: Cross multiply
    40,469x = 94,522 × 94,522
  4. Step 4: Simplify right side
    40,469x = 8,934,408,484
  5. Step 5: Solve for x
    x = 8,934,408,484/40,469
  6. Step 6: Final answer
    x = 220,771.66

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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.