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Finding the Third Proportional to 89,966 and 134,460

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Solution

The third proportional to 89,966 and 134,460 is: 200,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,966 : 134,460 = 134,460 : x
  2. Step 2: Convert to fraction form
    89,966/134,460 = 134,460/x
  3. Step 3: Cross multiply
    89,966x = 134,460 × 134,460
  4. Step 4: Simplify right side
    89,966x = 18,079,491,600
  5. Step 5: Solve for x
    x = 18,079,491,600/89,966
  6. Step 6: Final answer
    x = 200,959.16

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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.