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Finding the Third Proportional to 27,063 and 59,963

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Solution

The third proportional to 27,063 and 59,963 is: 132,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,063 : 59,963 = 59,963 : x
  2. Step 2: Convert to fraction form
    27,063/59,963 = 59,963/x
  3. Step 3: Cross multiply
    27,063x = 59,963 × 59,963
  4. Step 4: Simplify right side
    27,063x = 3,595,561,369
  5. Step 5: Solve for x
    x = 3,595,561,369/27,063
  6. Step 6: Final answer
    x = 132,858.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.