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Finding the Third Proportional to 68,966 and 105,454

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Solution

The third proportional to 68,966 and 105,454 is: 161,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,966 : 105,454 = 105,454 : x
  2. Step 2: Convert to fraction form
    68,966/105,454 = 105,454/x
  3. Step 3: Cross multiply
    68,966x = 105,454 × 105,454
  4. Step 4: Simplify right side
    68,966x = 11,120,546,116
  5. Step 5: Solve for x
    x = 11,120,546,116/68,966
  6. Step 6: Final answer
    x = 161,246.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.