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Finding the Third Proportional to 89,367 and 131,970

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Solution

The third proportional to 89,367 and 131,970 is: 194,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,367 : 131,970 = 131,970 : x
  2. Step 2: Convert to fraction form
    89,367/131,970 = 131,970/x
  3. Step 3: Cross multiply
    89,367x = 131,970 × 131,970
  4. Step 4: Simplify right side
    89,367x = 17,416,080,900
  5. Step 5: Solve for x
    x = 17,416,080,900/89,367
  6. Step 6: Final answer
    x = 194,882.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.