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Finding the Third Proportional to 51,268 and 112,618

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Solution

The third proportional to 51,268 and 112,618 is: 247,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,268 : 112,618 = 112,618 : x
  2. Step 2: Convert to fraction form
    51,268/112,618 = 112,618/x
  3. Step 3: Cross multiply
    51,268x = 112,618 × 112,618
  4. Step 4: Simplify right side
    51,268x = 12,682,813,924
  5. Step 5: Solve for x
    x = 12,682,813,924/51,268
  6. Step 6: Final answer
    x = 247,382.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.