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Finding the Third Proportional to 74,791 and 162,704

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Solution

The third proportional to 74,791 and 162,704 is: 353,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791 : 162,704 = 162,704 : x
  2. Step 2: Convert to fraction form
    74,791/162,704 = 162,704/x
  3. Step 3: Cross multiply
    74,791x = 162,704 × 162,704
  4. Step 4: Simplify right side
    74,791x = 26,472,591,616
  5. Step 5: Solve for x
    x = 26,472,591,616/74,791
  6. Step 6: Final answer
    x = 353,954.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.