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Finding the Third Proportional to 131,985 and 212,505

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Solution

The third proportional to 131,985 and 212,505 is: 342,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,985 : 212,505 = 212,505 : x
  2. Step 2: Convert to fraction form
    131,985/212,505 = 212,505/x
  3. Step 3: Cross multiply
    131,985x = 212,505 × 212,505
  4. Step 4: Simplify right side
    131,985x = 45,158,375,025
  5. Step 5: Solve for x
    x = 45,158,375,025/131,985
  6. Step 6: Final answer
    x = 342,147.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.