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Finding the Third Proportional to 87,092 and 190,795

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Solution

The third proportional to 87,092 and 190,795 is: 417,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092 : 190,795 = 190,795 : x
  2. Step 2: Convert to fraction form
    87,092/190,795 = 190,795/x
  3. Step 3: Cross multiply
    87,092x = 190,795 × 190,795
  4. Step 4: Simplify right side
    87,092x = 36,402,732,025
  5. Step 5: Solve for x
    x = 36,402,732,025/87,092
  6. Step 6: Final answer
    x = 417,980.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.