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Finding the Third Proportional to 27,072 and 59,063

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Solution

The third proportional to 27,072 and 59,063 is: 128,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 59,063 = 59,063 : x
  2. Step 2: Convert to fraction form
    27,072/59,063 = 59,063/x
  3. Step 3: Cross multiply
    27,072x = 59,063 × 59,063
  4. Step 4: Simplify right side
    27,072x = 3,488,437,969
  5. Step 5: Solve for x
    x = 3,488,437,969/27,072
  6. Step 6: Final answer
    x = 128,857.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.