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Finding the Third Proportional to 68,736 and 160,600

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Solution

The third proportional to 68,736 and 160,600 is: 375,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,736 : 160,600 = 160,600 : x
  2. Step 2: Convert to fraction form
    68,736/160,600 = 160,600/x
  3. Step 3: Cross multiply
    68,736x = 160,600 × 160,600
  4. Step 4: Simplify right side
    68,736x = 25,792,360,000
  5. Step 5: Solve for x
    x = 25,792,360,000/68,736
  6. Step 6: Final answer
    x = 375,238.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.