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Finding the Third Proportional to 68,450 and 146,354

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Solution

The third proportional to 68,450 and 146,354 is: 312,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,450 : 146,354 = 146,354 : x
  2. Step 2: Convert to fraction form
    68,450/146,354 = 146,354/x
  3. Step 3: Cross multiply
    68,450x = 146,354 × 146,354
  4. Step 4: Simplify right side
    68,450x = 21,419,493,316
  5. Step 5: Solve for x
    x = 21,419,493,316/68,450
  6. Step 6: Final answer
    x = 312,921.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.