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Finding the Third Proportional to 89,980 and 134,472

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Solution

The third proportional to 89,980 and 134,472 is: 200,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,980 : 134,472 = 134,472 : x
  2. Step 2: Convert to fraction form
    89,980/134,472 = 134,472/x
  3. Step 3: Cross multiply
    89,980x = 134,472 × 134,472
  4. Step 4: Simplify right side
    89,980x = 18,082,718,784
  5. Step 5: Solve for x
    x = 18,082,718,784/89,980
  6. Step 6: Final answer
    x = 200,963.76

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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.