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Finding the Third Proportional to 44,517 and 103,516.50

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Solution

The third proportional to 44,517 and 103,516.50 is: 240,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,517 : 103,516.50 = 103,516.50 : x
  2. Step 2: Convert to fraction form
    44,517/103,516.50 = 103,516.50/x
  3. Step 3: Cross multiply
    44,517x = 103,516.50 × 103,516.50
  4. Step 4: Simplify right side
    44,517x = 10,715,665,772.25
  5. Step 5: Solve for x
    x = 10,715,665,772.25/44,517
  6. Step 6: Final answer
    x = 240,709.52

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.