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Finding the Third Proportional to 87,124 and 189,000

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Solution

The third proportional to 87,124 and 189,000 is: 410,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,124 : 189,000 = 189,000 : x
  2. Step 2: Convert to fraction form
    87,124/189,000 = 189,000/x
  3. Step 3: Cross multiply
    87,124x = 189,000 × 189,000
  4. Step 4: Simplify right side
    87,124x = 35,721,000,000
  5. Step 5: Solve for x
    x = 35,721,000,000/87,124
  6. Step 6: Final answer
    x = 410,001.84

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