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Finding the Third Proportional to 71,816 and 157,744

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Solution

The third proportional to 71,816 and 157,744 is: 346,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816 : 157,744 = 157,744 : x
  2. Step 2: Convert to fraction form
    71,816/157,744 = 157,744/x
  3. Step 3: Cross multiply
    71,816x = 157,744 × 157,744
  4. Step 4: Simplify right side
    71,816x = 24,883,169,536
  5. Step 5: Solve for x
    x = 24,883,169,536/71,816
  6. Step 6: Final answer
    x = 346,485.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.