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Finding the Third Proportional to 126,744 and 272,206

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Solution

The third proportional to 126,744 and 272,206 is: 584,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,744 : 272,206 = 272,206 : x
  2. Step 2: Convert to fraction form
    126,744/272,206 = 272,206/x
  3. Step 3: Cross multiply
    126,744x = 272,206 × 272,206
  4. Step 4: Simplify right side
    126,744x = 74,096,106,436
  5. Step 5: Solve for x
    x = 74,096,106,436/126,744
  6. Step 6: Final answer
    x = 584,612.34

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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.