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Finding the Third Proportional to 51,833.50 and 106,938.50

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Solution

The third proportional to 51,833.50 and 106,938.50 is: 220,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833.50 : 106,938.50 = 106,938.50 : x
  2. Step 2: Convert to fraction form
    51,833.50/106,938.50 = 106,938.50/x
  3. Step 3: Cross multiply
    51,833.50x = 106,938.50 × 106,938.50
  4. Step 4: Simplify right side
    51,833.50x = 11,435,842,782.25
  5. Step 5: Solve for x
    x = 11,435,842,782.25/51,833.50
  6. Step 6: Final answer
    x = 220,626.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.