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Finding the Third Proportional to 135,962 and 191,124

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Solution

The third proportional to 135,962 and 191,124 is: 268,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,962 : 191,124 = 191,124 : x
  2. Step 2: Convert to fraction form
    135,962/191,124 = 191,124/x
  3. Step 3: Cross multiply
    135,962x = 191,124 × 191,124
  4. Step 4: Simplify right side
    135,962x = 36,528,383,376
  5. Step 5: Solve for x
    x = 36,528,383,376/135,962
  6. Step 6: Final answer
    x = 268,666.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.