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Finding the Third Proportional to 87,914 and 189,516

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Solution

The third proportional to 87,914 and 189,516 is: 408,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,914 : 189,516 = 189,516 : x
  2. Step 2: Convert to fraction form
    87,914/189,516 = 189,516/x
  3. Step 3: Cross multiply
    87,914x = 189,516 × 189,516
  4. Step 4: Simplify right side
    87,914x = 35,916,314,256
  5. Step 5: Solve for x
    x = 35,916,314,256/87,914
  6. Step 6: Final answer
    x = 408,539.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.