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Finding the Third Proportional to 89,956 and 134,436

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Solution

The third proportional to 89,956 and 134,436 is: 200,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,956 : 134,436 = 134,436 : x
  2. Step 2: Convert to fraction form
    89,956/134,436 = 134,436/x
  3. Step 3: Cross multiply
    89,956x = 134,436 × 134,436
  4. Step 4: Simplify right side
    89,956x = 18,073,038,096
  5. Step 5: Solve for x
    x = 18,073,038,096/89,956
  6. Step 6: Final answer
    x = 200,909.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.