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Finding the Third Proportional to 89,328 and 133,896

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Solution

The third proportional to 89,328 and 133,896 is: 200,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,328 : 133,896 = 133,896 : x
  2. Step 2: Convert to fraction form
    89,328/133,896 = 133,896/x
  3. Step 3: Cross multiply
    89,328x = 133,896 × 133,896
  4. Step 4: Simplify right side
    89,328x = 17,928,138,816
  5. Step 5: Solve for x
    x = 17,928,138,816/89,328
  6. Step 6: Final answer
    x = 200,700.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.