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Finding the Third Proportional to 73,170 and 112,794

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Solution

The third proportional to 73,170 and 112,794 is: 173,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 112,794 = 112,794 : x
  2. Step 2: Convert to fraction form
    73,170/112,794 = 112,794/x
  3. Step 3: Cross multiply
    73,170x = 112,794 × 112,794
  4. Step 4: Simplify right side
    73,170x = 12,722,486,436
  5. Step 5: Solve for x
    x = 12,722,486,436/73,170
  6. Step 6: Final answer
    x = 173,875.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.