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Finding the Third Proportional to 95,632 and 140,376

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Solution

The third proportional to 95,632 and 140,376 is: 206,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632 : 140,376 = 140,376 : x
  2. Step 2: Convert to fraction form
    95,632/140,376 = 140,376/x
  3. Step 3: Cross multiply
    95,632x = 140,376 × 140,376
  4. Step 4: Simplify right side
    95,632x = 19,705,421,376
  5. Step 5: Solve for x
    x = 19,705,421,376/95,632
  6. Step 6: Final answer
    x = 206,054.68

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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.