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Finding the Third Proportional to 44,115.50 and 104,126

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Solution

The third proportional to 44,115.50 and 104,126 is: 245,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,115.50 : 104,126 = 104,126 : x
  2. Step 2: Convert to fraction form
    44,115.50/104,126 = 104,126/x
  3. Step 3: Cross multiply
    44,115.50x = 104,126 × 104,126
  4. Step 4: Simplify right side
    44,115.50x = 10,842,223,876
  5. Step 5: Solve for x
    x = 10,842,223,876/44,115.50
  6. Step 6: Final answer
    x = 245,769.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.