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Finding the Third Proportional to 95,123 and 200,850

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Solution

The third proportional to 95,123 and 200,850 is: 424,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,123 : 200,850 = 200,850 : x
  2. Step 2: Convert to fraction form
    95,123/200,850 = 200,850/x
  3. Step 3: Cross multiply
    95,123x = 200,850 × 200,850
  4. Step 4: Simplify right side
    95,123x = 40,340,722,500
  5. Step 5: Solve for x
    x = 40,340,722,500/95,123
  6. Step 6: Final answer
    x = 424,090.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.