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Finding the Third Proportional to 51,963.75 and 112,128.75

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Solution

The third proportional to 51,963.75 and 112,128.75 is: 241,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.75 : 112,128.75 = 112,128.75 : x
  2. Step 2: Convert to fraction form
    51,963.75/112,128.75 = 112,128.75/x
  3. Step 3: Cross multiply
    51,963.75x = 112,128.75 × 112,128.75
  4. Step 4: Simplify right side
    51,963.75x = 12,572,856,576.56
  5. Step 5: Solve for x
    x = 12,572,856,576.56/51,963.75
  6. Step 6: Final answer
    x = 241,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.