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Finding the Third Proportional to 89,586 and 133,911

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Solution

The third proportional to 89,586 and 133,911 is: 200,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,586 : 133,911 = 133,911 : x
  2. Step 2: Convert to fraction form
    89,586/133,911 = 133,911/x
  3. Step 3: Cross multiply
    89,586x = 133,911 × 133,911
  4. Step 4: Simplify right side
    89,586x = 17,932,155,921
  5. Step 5: Solve for x
    x = 17,932,155,921/89,586
  6. Step 6: Final answer
    x = 200,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.