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Finding the Third Proportional to 134,728 and 199,472

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Solution

The third proportional to 134,728 and 199,472 is: 295,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,728 : 199,472 = 199,472 : x
  2. Step 2: Convert to fraction form
    134,728/199,472 = 199,472/x
  3. Step 3: Cross multiply
    134,728x = 199,472 × 199,472
  4. Step 4: Simplify right side
    134,728x = 39,789,078,784
  5. Step 5: Solve for x
    x = 39,789,078,784/134,728
  6. Step 6: Final answer
    x = 295,328.95

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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.