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Finding the Third Proportional to 84,162 and 126,461

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Solution

The third proportional to 84,162 and 126,461 is: 190,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162 : 126,461 = 126,461 : x
  2. Step 2: Convert to fraction form
    84,162/126,461 = 126,461/x
  3. Step 3: Cross multiply
    84,162x = 126,461 × 126,461
  4. Step 4: Simplify right side
    84,162x = 15,992,384,521
  5. Step 5: Solve for x
    x = 15,992,384,521/84,162
  6. Step 6: Final answer
    x = 190,019.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.