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Finding the Third Proportional to 87,126 and 189,002

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Solution

The third proportional to 87,126 and 189,002 is: 410,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,126 : 189,002 = 189,002 : x
  2. Step 2: Convert to fraction form
    87,126/189,002 = 189,002/x
  3. Step 3: Cross multiply
    87,126x = 189,002 × 189,002
  4. Step 4: Simplify right side
    87,126x = 35,721,756,004
  5. Step 5: Solve for x
    x = 35,721,756,004/87,126
  6. Step 6: Final answer
    x = 410,001.10

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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.