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Finding the Third Proportional to 126,026 and 272,738

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Solution

The third proportional to 126,026 and 272,738 is: 590,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,026 : 272,738 = 272,738 : x
  2. Step 2: Convert to fraction form
    126,026/272,738 = 272,738/x
  3. Step 3: Cross multiply
    126,026x = 272,738 × 272,738
  4. Step 4: Simplify right side
    126,026x = 74,386,016,644
  5. Step 5: Solve for x
    x = 74,386,016,644/126,026
  6. Step 6: Final answer
    x = 590,243.42

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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.