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Finding the Third Proportional to 126,656 and 273,616

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Solution

The third proportional to 126,656 and 273,616 is: 591,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656 : 273,616 = 273,616 : x
  2. Step 2: Convert to fraction form
    126,656/273,616 = 273,616/x
  3. Step 3: Cross multiply
    126,656x = 273,616 × 273,616
  4. Step 4: Simplify right side
    126,656x = 74,865,715,456
  5. Step 5: Solve for x
    x = 74,865,715,456/126,656
  6. Step 6: Final answer
    x = 591,094.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.