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Finding the Third Proportional to 72,764 and 159,052

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Solution

The third proportional to 72,764 and 159,052 is: 347,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764 : 159,052 = 159,052 : x
  2. Step 2: Convert to fraction form
    72,764/159,052 = 159,052/x
  3. Step 3: Cross multiply
    72,764x = 159,052 × 159,052
  4. Step 4: Simplify right side
    72,764x = 25,297,538,704
  5. Step 5: Solve for x
    x = 25,297,538,704/72,764
  6. Step 6: Final answer
    x = 347,665.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.