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Finding the Third Proportional to 87,092 and 190,785

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Solution

The third proportional to 87,092 and 190,785 is: 417,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092 : 190,785 = 190,785 : x
  2. Step 2: Convert to fraction form
    87,092/190,785 = 190,785/x
  3. Step 3: Cross multiply
    87,092x = 190,785 × 190,785
  4. Step 4: Simplify right side
    87,092x = 36,398,916,225
  5. Step 5: Solve for x
    x = 36,398,916,225/87,092
  6. Step 6: Final answer
    x = 417,936.39

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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.