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Finding the Third Proportional to 50,618 and 101,176

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Solution

The third proportional to 50,618 and 101,176 is: 202,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,618 : 101,176 = 101,176 : x
  2. Step 2: Convert to fraction form
    50,618/101,176 = 101,176/x
  3. Step 3: Cross multiply
    50,618x = 101,176 × 101,176
  4. Step 4: Simplify right side
    50,618x = 10,236,582,976
  5. Step 5: Solve for x
    x = 10,236,582,976/50,618
  6. Step 6: Final answer
    x = 202,232.07

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.