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Finding the Third Proportional to 91,554 and 192,951

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Solution

The third proportional to 91,554 and 192,951 is: 406,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,554 : 192,951 = 192,951 : x
  2. Step 2: Convert to fraction form
    91,554/192,951 = 192,951/x
  3. Step 3: Cross multiply
    91,554x = 192,951 × 192,951
  4. Step 4: Simplify right side
    91,554x = 37,230,088,401
  5. Step 5: Solve for x
    x = 37,230,088,401/91,554
  6. Step 6: Final answer
    x = 406,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.