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Finding the Third Proportional to 89,064 and 192,177

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Solution

The third proportional to 89,064 and 192,177 is: 414,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,064 : 192,177 = 192,177 : x
  2. Step 2: Convert to fraction form
    89,064/192,177 = 192,177/x
  3. Step 3: Cross multiply
    89,064x = 192,177 × 192,177
  4. Step 4: Simplify right side
    89,064x = 36,931,999,329
  5. Step 5: Solve for x
    x = 36,931,999,329/89,064
  6. Step 6: Final answer
    x = 414,668.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.