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Finding the Third Proportional to 67,722.75 and 146,745

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Solution

The third proportional to 67,722.75 and 146,745 is: 317,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,722.75 : 146,745 = 146,745 : x
  2. Step 2: Convert to fraction form
    67,722.75/146,745 = 146,745/x
  3. Step 3: Cross multiply
    67,722.75x = 146,745 × 146,745
  4. Step 4: Simplify right side
    67,722.75x = 21,534,095,025
  5. Step 5: Solve for x
    x = 21,534,095,025/67,722.75
  6. Step 6: Final answer
    x = 317,974.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.