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Finding the Third Proportional to 87,670 and 189,354

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Solution

The third proportional to 87,670 and 189,354 is: 408,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670 : 189,354 = 189,354 : x
  2. Step 2: Convert to fraction form
    87,670/189,354 = 189,354/x
  3. Step 3: Cross multiply
    87,670x = 189,354 × 189,354
  4. Step 4: Simplify right side
    87,670x = 35,854,937,316
  5. Step 5: Solve for x
    x = 35,854,937,316/87,670
  6. Step 6: Final answer
    x = 408,976.13

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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.