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Finding the Third Proportional to 51,041 and 76,618

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Solution

The third proportional to 51,041 and 76,618 is: 115,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,041 : 76,618 = 76,618 : x
  2. Step 2: Convert to fraction form
    51,041/76,618 = 76,618/x
  3. Step 3: Cross multiply
    51,041x = 76,618 × 76,618
  4. Step 4: Simplify right side
    51,041x = 5,870,317,924
  5. Step 5: Solve for x
    x = 5,870,317,924/51,041
  6. Step 6: Final answer
    x = 115,011.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.