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Finding the Third Proportional to 51,466.50 and 111,357

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Solution

The third proportional to 51,466.50 and 111,357 is: 240,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,466.50 : 111,357 = 111,357 : x
  2. Step 2: Convert to fraction form
    51,466.50/111,357 = 111,357/x
  3. Step 3: Cross multiply
    51,466.50x = 111,357 × 111,357
  4. Step 4: Simplify right side
    51,466.50x = 12,400,381,449
  5. Step 5: Solve for x
    x = 12,400,381,449/51,466.50
  6. Step 6: Final answer
    x = 240,940.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.