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Finding the Third Proportional to 73,787 and 163,079

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Solution

The third proportional to 73,787 and 163,079 is: 360,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,787 : 163,079 = 163,079 : x
  2. Step 2: Convert to fraction form
    73,787/163,079 = 163,079/x
  3. Step 3: Cross multiply
    73,787x = 163,079 × 163,079
  4. Step 4: Simplify right side
    73,787x = 26,594,760,241
  5. Step 5: Solve for x
    x = 26,594,760,241/73,787
  6. Step 6: Final answer
    x = 360,426.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.