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Finding the Third Proportional to 87,704 and 189,421

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Solution

The third proportional to 87,704 and 189,421 is: 409,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,704 : 189,421 = 189,421 : x
  2. Step 2: Convert to fraction form
    87,704/189,421 = 189,421/x
  3. Step 3: Cross multiply
    87,704x = 189,421 × 189,421
  4. Step 4: Simplify right side
    87,704x = 35,880,315,241
  5. Step 5: Solve for x
    x = 35,880,315,241/87,704
  6. Step 6: Final answer
    x = 409,106.94

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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.