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Finding the Third Proportional to 107,974.69 and 163,447.03

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Solution

The third proportional to 107,974.69 and 163,447.03 is: 247,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,974.69 : 163,447.03 = 163,447.03 : x
  2. Step 2: Convert to fraction form
    107,974.69/163,447.03 = 163,447.03/x
  3. Step 3: Cross multiply
    107,974.69x = 163,447.03 × 163,447.03
  4. Step 4: Simplify right side
    107,974.69x = 26,714,932,024.44
  5. Step 5: Solve for x
    x = 26,714,932,024.44/107,974.69
  6. Step 6: Final answer
    x = 247,418.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.