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Finding the Third Proportional to 90,962 and 191,349

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Solution

The third proportional to 90,962 and 191,349 is: 402,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,962 : 191,349 = 191,349 : x
  2. Step 2: Convert to fraction form
    90,962/191,349 = 191,349/x
  3. Step 3: Cross multiply
    90,962x = 191,349 × 191,349
  4. Step 4: Simplify right side
    90,962x = 36,614,439,801
  5. Step 5: Solve for x
    x = 36,614,439,801/90,962
  6. Step 6: Final answer
    x = 402,524.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.