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Finding the Third Proportional to 89,604 and 133,542

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Solution

The third proportional to 89,604 and 133,542 is: 199,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,604 : 133,542 = 133,542 : x
  2. Step 2: Convert to fraction form
    89,604/133,542 = 133,542/x
  3. Step 3: Cross multiply
    89,604x = 133,542 × 133,542
  4. Step 4: Simplify right side
    89,604x = 17,833,465,764
  5. Step 5: Solve for x
    x = 17,833,465,764/89,604
  6. Step 6: Final answer
    x = 199,025.33

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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.