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Finding the Third Proportional to 85,362 and 131,895

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Solution

The third proportional to 85,362 and 131,895 is: 203,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,362 : 131,895 = 131,895 : x
  2. Step 2: Convert to fraction form
    85,362/131,895 = 131,895/x
  3. Step 3: Cross multiply
    85,362x = 131,895 × 131,895
  4. Step 4: Simplify right side
    85,362x = 17,396,291,025
  5. Step 5: Solve for x
    x = 17,396,291,025/85,362
  6. Step 6: Final answer
    x = 203,794.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.