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Finding the Third Proportional to 73,618 and 111,795

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Solution

The third proportional to 73,618 and 111,795 is: 169,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,618 : 111,795 = 111,795 : x
  2. Step 2: Convert to fraction form
    73,618/111,795 = 111,795/x
  3. Step 3: Cross multiply
    73,618x = 111,795 × 111,795
  4. Step 4: Simplify right side
    73,618x = 12,498,122,025
  5. Step 5: Solve for x
    x = 12,498,122,025/73,618
  6. Step 6: Final answer
    x = 169,769.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.