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Finding the Third Proportional to 95,672 and 133,755

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Solution

The third proportional to 95,672 and 133,755 is: 186,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,672 : 133,755 = 133,755 : x
  2. Step 2: Convert to fraction form
    95,672/133,755 = 133,755/x
  3. Step 3: Cross multiply
    95,672x = 133,755 × 133,755
  4. Step 4: Simplify right side
    95,672x = 17,890,400,025
  5. Step 5: Solve for x
    x = 17,890,400,025/95,672
  6. Step 6: Final answer
    x = 186,997.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.