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Finding the Third Proportional to 68,624 and 148,832

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Solution

The third proportional to 68,624 and 148,832 is: 322,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,624 : 148,832 = 148,832 : x
  2. Step 2: Convert to fraction form
    68,624/148,832 = 148,832/x
  3. Step 3: Cross multiply
    68,624x = 148,832 × 148,832
  4. Step 4: Simplify right side
    68,624x = 22,150,964,224
  5. Step 5: Solve for x
    x = 22,150,964,224/68,624
  6. Step 6: Final answer
    x = 322,787.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.