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Finding the Third Proportional to 60,790 and 131,660

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Solution

The third proportional to 60,790 and 131,660 is: 285,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,790 : 131,660 = 131,660 : x
  2. Step 2: Convert to fraction form
    60,790/131,660 = 131,660/x
  3. Step 3: Cross multiply
    60,790x = 131,660 × 131,660
  4. Step 4: Simplify right side
    60,790x = 17,334,355,600
  5. Step 5: Solve for x
    x = 17,334,355,600/60,790
  6. Step 6: Final answer
    x = 285,151.43

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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.