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Finding the Third Proportional to 126,038 and 272,764

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Solution

The third proportional to 126,038 and 272,764 is: 590,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,038 : 272,764 = 272,764 : x
  2. Step 2: Convert to fraction form
    126,038/272,764 = 272,764/x
  3. Step 3: Cross multiply
    126,038x = 272,764 × 272,764
  4. Step 4: Simplify right side
    126,038x = 74,400,199,696
  5. Step 5: Solve for x
    x = 74,400,199,696/126,038
  6. Step 6: Final answer
    x = 590,299.75

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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.