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Finding the Third Proportional to 126,737 and 272,194

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Solution

The third proportional to 126,737 and 272,194 is: 584,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,737 : 272,194 = 272,194 : x
  2. Step 2: Convert to fraction form
    126,737/272,194 = 272,194/x
  3. Step 3: Cross multiply
    126,737x = 272,194 × 272,194
  4. Step 4: Simplify right side
    126,737x = 74,089,573,636
  5. Step 5: Solve for x
    x = 74,089,573,636/126,737
  6. Step 6: Final answer
    x = 584,593.08

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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.