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Finding the Third Proportional to 127,659 and 274,269

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Solution

The third proportional to 127,659 and 274,269 is: 589,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,659 : 274,269 = 274,269 : x
  2. Step 2: Convert to fraction form
    127,659/274,269 = 274,269/x
  3. Step 3: Cross multiply
    127,659x = 274,269 × 274,269
  4. Step 4: Simplify right side
    127,659x = 75,223,484,361
  5. Step 5: Solve for x
    x = 75,223,484,361/127,659
  6. Step 6: Final answer
    x = 589,253.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.