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Finding the Third Proportional to 111,215.44 and 172,353.19

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Solution

The third proportional to 111,215.44 and 172,353.19 is: 267,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,215.44 : 172,353.19 = 172,353.19 : x
  2. Step 2: Convert to fraction form
    111,215.44/172,353.19 = 172,353.19/x
  3. Step 3: Cross multiply
    111,215.44x = 172,353.19 × 172,353.19
  4. Step 4: Simplify right side
    111,215.44x = 29,705,621,241.41
  5. Step 5: Solve for x
    x = 29,705,621,241.41/111,215.44
  6. Step 6: Final answer
    x = 267,099.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.