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Finding the Third Proportional to 60,532 and 131,269

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Solution

The third proportional to 60,532 and 131,269 is: 284,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,532 : 131,269 = 131,269 : x
  2. Step 2: Convert to fraction form
    60,532/131,269 = 131,269/x
  3. Step 3: Cross multiply
    60,532x = 131,269 × 131,269
  4. Step 4: Simplify right side
    60,532x = 17,231,550,361
  5. Step 5: Solve for x
    x = 17,231,550,361/60,532
  6. Step 6: Final answer
    x = 284,668.45

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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.