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Finding the Third Proportional to 44,988 and 107,447

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Solution

The third proportional to 44,988 and 107,447 is: 256,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,988 : 107,447 = 107,447 : x
  2. Step 2: Convert to fraction form
    44,988/107,447 = 107,447/x
  3. Step 3: Cross multiply
    44,988x = 107,447 × 107,447
  4. Step 4: Simplify right side
    44,988x = 11,544,857,809
  5. Step 5: Solve for x
    x = 11,544,857,809/44,988
  6. Step 6: Final answer
    x = 256,620.83

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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.