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Finding the Third Proportional to 51,923 and 112,959

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Solution

The third proportional to 51,923 and 112,959 is: 245,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,923 : 112,959 = 112,959 : x
  2. Step 2: Convert to fraction form
    51,923/112,959 = 112,959/x
  3. Step 3: Cross multiply
    51,923x = 112,959 × 112,959
  4. Step 4: Simplify right side
    51,923x = 12,759,735,681
  5. Step 5: Solve for x
    x = 12,759,735,681/51,923
  6. Step 6: Final answer
    x = 245,743.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.