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Finding the Third Proportional to 126,618 and 196,051

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Solution

The third proportional to 126,618 and 196,051 is: 303,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,618 : 196,051 = 196,051 : x
  2. Step 2: Convert to fraction form
    126,618/196,051 = 196,051/x
  3. Step 3: Cross multiply
    126,618x = 196,051 × 196,051
  4. Step 4: Simplify right side
    126,618x = 38,435,994,601
  5. Step 5: Solve for x
    x = 38,435,994,601/126,618
  6. Step 6: Final answer
    x = 303,558.69

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Why These Related Problems?

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