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Finding the Third Proportional to 60,650 and 131,609

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Solution

The third proportional to 60,650 and 131,609 is: 285,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,650 : 131,609 = 131,609 : x
  2. Step 2: Convert to fraction form
    60,650/131,609 = 131,609/x
  3. Step 3: Cross multiply
    60,650x = 131,609 × 131,609
  4. Step 4: Simplify right side
    60,650x = 17,320,928,881
  5. Step 5: Solve for x
    x = 17,320,928,881/60,650
  6. Step 6: Final answer
    x = 285,588.28

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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.