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Finding the Third Proportional to 73,252 and 157,704

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Solution

The third proportional to 73,252 and 157,704 is: 339,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,252 : 157,704 = 157,704 : x
  2. Step 2: Convert to fraction form
    73,252/157,704 = 157,704/x
  3. Step 3: Cross multiply
    73,252x = 157,704 × 157,704
  4. Step 4: Simplify right side
    73,252x = 24,870,551,616
  5. Step 5: Solve for x
    x = 24,870,551,616/73,252
  6. Step 6: Final answer
    x = 339,520.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.