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Finding the Third Proportional to 172,027.13 and 185,149.13

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Solution

The third proportional to 172,027.13 and 185,149.13 is: 199,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,027.13 : 185,149.13 = 185,149.13 : x
  2. Step 2: Convert to fraction form
    172,027.13/185,149.13 = 185,149.13/x
  3. Step 3: Cross multiply
    172,027.13x = 185,149.13 × 185,149.13
  4. Step 4: Simplify right side
    172,027.13x = 34,280,198,488.27
  5. Step 5: Solve for x
    x = 34,280,198,488.27/172,027.13
  6. Step 6: Final answer
    x = 199,272.05

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.