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Finding the Third Proportional to 95,730 and 158,995

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Solution

The third proportional to 95,730 and 158,995 is: 264,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,730 : 158,995 = 158,995 : x
  2. Step 2: Convert to fraction form
    95,730/158,995 = 158,995/x
  3. Step 3: Cross multiply
    95,730x = 158,995 × 158,995
  4. Step 4: Simplify right side
    95,730x = 25,279,410,025
  5. Step 5: Solve for x
    x = 25,279,410,025/95,730
  6. Step 6: Final answer
    x = 264,069.88

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