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Finding the Third Proportional to 40,252 and 85,701

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Solution

The third proportional to 40,252 and 85,701 is: 182,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,252 : 85,701 = 85,701 : x
  2. Step 2: Convert to fraction form
    40,252/85,701 = 85,701/x
  3. Step 3: Cross multiply
    40,252x = 85,701 × 85,701
  4. Step 4: Simplify right side
    40,252x = 7,344,661,401
  5. Step 5: Solve for x
    x = 7,344,661,401/40,252
  6. Step 6: Final answer
    x = 182,466.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.