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Finding the Third Proportional to 51,624 and 109,450

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Solution

The third proportional to 51,624 and 109,450 is: 232,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 109,450 = 109,450 : x
  2. Step 2: Convert to fraction form
    51,624/109,450 = 109,450/x
  3. Step 3: Cross multiply
    51,624x = 109,450 × 109,450
  4. Step 4: Simplify right side
    51,624x = 11,979,302,500
  5. Step 5: Solve for x
    x = 11,979,302,500/51,624
  6. Step 6: Final answer
    x = 232,049.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.