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Finding the Third Proportional to 68,222 and 105,249

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Solution

The third proportional to 68,222 and 105,249 is: 162,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,222 : 105,249 = 105,249 : x
  2. Step 2: Convert to fraction form
    68,222/105,249 = 105,249/x
  3. Step 3: Cross multiply
    68,222x = 105,249 × 105,249
  4. Step 4: Simplify right side
    68,222x = 11,077,352,001
  5. Step 5: Solve for x
    x = 11,077,352,001/68,222
  6. Step 6: Final answer
    x = 162,372.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.