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Finding the Third Proportional to 104,247 and 172,545.19

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Solution

The third proportional to 104,247 and 172,545.19 is: 285,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,247 : 172,545.19 = 172,545.19 : x
  2. Step 2: Convert to fraction form
    104,247/172,545.19 = 172,545.19/x
  3. Step 3: Cross multiply
    104,247x = 172,545.19 × 172,545.19
  4. Step 4: Simplify right side
    104,247x = 29,771,841,729.41
  5. Step 5: Solve for x
    x = 29,771,841,729.41/104,247
  6. Step 6: Final answer
    x = 285,589.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.