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Finding the Third Proportional to 60,648 and 131,656

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Solution

The third proportional to 60,648 and 131,656 is: 285,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,648 : 131,656 = 131,656 : x
  2. Step 2: Convert to fraction form
    60,648/131,656 = 131,656/x
  3. Step 3: Cross multiply
    60,648x = 131,656 × 131,656
  4. Step 4: Simplify right side
    60,648x = 17,333,302,336
  5. Step 5: Solve for x
    x = 17,333,302,336/60,648
  6. Step 6: Final answer
    x = 285,801.71

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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.