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Finding the Third Proportional to 105,162 and 162,927

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Solution

The third proportional to 105,162 and 162,927 is: 252,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162 : 162,927 = 162,927 : x
  2. Step 2: Convert to fraction form
    105,162/162,927 = 162,927/x
  3. Step 3: Cross multiply
    105,162x = 162,927 × 162,927
  4. Step 4: Simplify right side
    105,162x = 26,545,207,329
  5. Step 5: Solve for x
    x = 26,545,207,329/105,162
  6. Step 6: Final answer
    x = 252,422.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.