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Finding the Third Proportional to 95,052 and 147,162

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Solution

The third proportional to 95,052 and 147,162 is: 227,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,052 : 147,162 = 147,162 : x
  2. Step 2: Convert to fraction form
    95,052/147,162 = 147,162/x
  3. Step 3: Cross multiply
    95,052x = 147,162 × 147,162
  4. Step 4: Simplify right side
    95,052x = 21,656,654,244
  5. Step 5: Solve for x
    x = 21,656,654,244/95,052
  6. Step 6: Final answer
    x = 227,840.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.