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Finding the Third Proportional to 68,251 and 105,293

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Solution

The third proportional to 68,251 and 105,293 is: 162,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,251 : 105,293 = 105,293 : x
  2. Step 2: Convert to fraction form
    68,251/105,293 = 105,293/x
  3. Step 3: Cross multiply
    68,251x = 105,293 × 105,293
  4. Step 4: Simplify right side
    68,251x = 11,086,615,849
  5. Step 5: Solve for x
    x = 11,086,615,849/68,251
  6. Step 6: Final answer
    x = 162,438.88

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