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Finding the Third Proportional to 101,872 and 227,072

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Solution

The third proportional to 101,872 and 227,072 is: 506,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872 : 227,072 = 227,072 : x
  2. Step 2: Convert to fraction form
    101,872/227,072 = 227,072/x
  3. Step 3: Cross multiply
    101,872x = 227,072 × 227,072
  4. Step 4: Simplify right side
    101,872x = 51,561,693,184
  5. Step 5: Solve for x
    x = 51,561,693,184/101,872
  6. Step 6: Final answer
    x = 506,141.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.