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Finding the Third Proportional to 126,048 and 273,288

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Solution

The third proportional to 126,048 and 273,288 is: 592,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,048 : 273,288 = 273,288 : x
  2. Step 2: Convert to fraction form
    126,048/273,288 = 273,288/x
  3. Step 3: Cross multiply
    126,048x = 273,288 × 273,288
  4. Step 4: Simplify right side
    126,048x = 74,686,330,944
  5. Step 5: Solve for x
    x = 74,686,330,944/126,048
  6. Step 6: Final answer
    x = 592,522.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.