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Finding the Third Proportional to 51,675.75 and 73,140.75

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Solution

The third proportional to 51,675.75 and 73,140.75 is: 103,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,675.75 : 73,140.75 = 73,140.75 : x
  2. Step 2: Convert to fraction form
    51,675.75/73,140.75 = 73,140.75/x
  3. Step 3: Cross multiply
    51,675.75x = 73,140.75 × 73,140.75
  4. Step 4: Simplify right side
    51,675.75x = 5,349,569,310.56
  5. Step 5: Solve for x
    x = 5,349,569,310.56/51,675.75
  6. Step 6: Final answer
    x = 103,521.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.