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Finding the Third Proportional to 74,847 and 163,761

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Solution

The third proportional to 74,847 and 163,761 is: 358,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,847 : 163,761 = 163,761 : x
  2. Step 2: Convert to fraction form
    74,847/163,761 = 163,761/x
  3. Step 3: Cross multiply
    74,847x = 163,761 × 163,761
  4. Step 4: Simplify right side
    74,847x = 26,817,665,121
  5. Step 5: Solve for x
    x = 26,817,665,121/74,847
  6. Step 6: Final answer
    x = 358,299.80

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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.