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Finding the Third Proportional to 95,436 and 140,238

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Solution

The third proportional to 95,436 and 140,238 is: 206,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,436 : 140,238 = 140,238 : x
  2. Step 2: Convert to fraction form
    95,436/140,238 = 140,238/x
  3. Step 3: Cross multiply
    95,436x = 140,238 × 140,238
  4. Step 4: Simplify right side
    95,436x = 19,666,696,644
  5. Step 5: Solve for x
    x = 19,666,696,644/95,436
  6. Step 6: Final answer
    x = 206,072.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.