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Finding the Third Proportional to 51,702.05 and 73,161.98

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Solution

The third proportional to 51,702.05 and 73,161.98 is: 103,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.05 : 73,161.98 = 73,161.98 : x
  2. Step 2: Convert to fraction form
    51,702.05/73,161.98 = 73,161.98/x
  3. Step 3: Cross multiply
    51,702.05x = 73,161.98 × 73,161.98
  4. Step 4: Simplify right side
    51,702.05x = 5,352,675,957.69
  5. Step 5: Solve for x
    x = 5,352,675,957.69/51,702.05
  6. Step 6: Final answer
    x = 103,529.29

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