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Finding the Third Proportional to 133,568 and 272,072

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Solution

The third proportional to 133,568 and 272,072 is: 554,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568 : 272,072 = 272,072 : x
  2. Step 2: Convert to fraction form
    133,568/272,072 = 272,072/x
  3. Step 3: Cross multiply
    133,568x = 272,072 × 272,072
  4. Step 4: Simplify right side
    133,568x = 74,023,173,184
  5. Step 5: Solve for x
    x = 74,023,173,184/133,568
  6. Step 6: Final answer
    x = 554,198.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.