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Finding the Third Proportional to 44,440.50 and 106,251

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Solution

The third proportional to 44,440.50 and 106,251 is: 254,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,440.50 : 106,251 = 106,251 : x
  2. Step 2: Convert to fraction form
    44,440.50/106,251 = 106,251/x
  3. Step 3: Cross multiply
    44,440.50x = 106,251 × 106,251
  4. Step 4: Simplify right side
    44,440.50x = 11,289,275,001
  5. Step 5: Solve for x
    x = 11,289,275,001/44,440.50
  6. Step 6: Final answer
    x = 254,031.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.