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Finding the Third Proportional to 56,727 and 121,269

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Solution

The third proportional to 56,727 and 121,269 is: 259,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,727 : 121,269 = 121,269 : x
  2. Step 2: Convert to fraction form
    56,727/121,269 = 121,269/x
  3. Step 3: Cross multiply
    56,727x = 121,269 × 121,269
  4. Step 4: Simplify right side
    56,727x = 14,706,170,361
  5. Step 5: Solve for x
    x = 14,706,170,361/56,727
  6. Step 6: Final answer
    x = 259,244.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.