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Finding the Third Proportional to 40,394 and 86,755

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Solution

The third proportional to 40,394 and 86,755 is: 186,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394 : 86,755 = 86,755 : x
  2. Step 2: Convert to fraction form
    40,394/86,755 = 86,755/x
  3. Step 3: Cross multiply
    40,394x = 86,755 × 86,755
  4. Step 4: Simplify right side
    40,394x = 7,526,430,025
  5. Step 5: Solve for x
    x = 7,526,430,025/40,394
  6. Step 6: Final answer
    x = 186,325.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.