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Finding the Third Proportional to 87,742 and 190,064

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Solution

The third proportional to 87,742 and 190,064 is: 411,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,742 : 190,064 = 190,064 : x
  2. Step 2: Convert to fraction form
    87,742/190,064 = 190,064/x
  3. Step 3: Cross multiply
    87,742x = 190,064 × 190,064
  4. Step 4: Simplify right side
    87,742x = 36,124,324,096
  5. Step 5: Solve for x
    x = 36,124,324,096/87,742
  6. Step 6: Final answer
    x = 411,710.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.