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Finding the Third Proportional to 89,808 and 140,472

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Solution

The third proportional to 89,808 and 140,472 is: 219,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,808 : 140,472 = 140,472 : x
  2. Step 2: Convert to fraction form
    89,808/140,472 = 140,472/x
  3. Step 3: Cross multiply
    89,808x = 140,472 × 140,472
  4. Step 4: Simplify right side
    89,808x = 19,732,382,784
  5. Step 5: Solve for x
    x = 19,732,382,784/89,808
  6. Step 6: Final answer
    x = 219,717.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.