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Finding the Third Proportional to 87,584 and 189,712

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Solution

The third proportional to 87,584 and 189,712 is: 410,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,584 : 189,712 = 189,712 : x
  2. Step 2: Convert to fraction form
    87,584/189,712 = 189,712/x
  3. Step 3: Cross multiply
    87,584x = 189,712 × 189,712
  4. Step 4: Simplify right side
    87,584x = 35,990,642,944
  5. Step 5: Solve for x
    x = 35,990,642,944/87,584
  6. Step 6: Final answer
    x = 410,927.14

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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.