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Finding the Third Proportional to 60,276 and 131,268

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Solution

The third proportional to 60,276 and 131,268 is: 285,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,276 : 131,268 = 131,268 : x
  2. Step 2: Convert to fraction form
    60,276/131,268 = 131,268/x
  3. Step 3: Cross multiply
    60,276x = 131,268 × 131,268
  4. Step 4: Simplify right side
    60,276x = 17,231,287,824
  5. Step 5: Solve for x
    x = 17,231,287,824/60,276
  6. Step 6: Final answer
    x = 285,873.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.