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Finding the Third Proportional to 40,531 and 89,243

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Solution

The third proportional to 40,531 and 89,243 is: 196,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,531 : 89,243 = 89,243 : x
  2. Step 2: Convert to fraction form
    40,531/89,243 = 89,243/x
  3. Step 3: Cross multiply
    40,531x = 89,243 × 89,243
  4. Step 4: Simplify right side
    40,531x = 7,964,313,049
  5. Step 5: Solve for x
    x = 7,964,313,049/40,531
  6. Step 6: Final answer
    x = 196,499.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.