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Finding the Third Proportional to 59,823 and 127,422

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Solution

The third proportional to 59,823 and 127,422 is: 271,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,823 : 127,422 = 127,422 : x
  2. Step 2: Convert to fraction form
    59,823/127,422 = 127,422/x
  3. Step 3: Cross multiply
    59,823x = 127,422 × 127,422
  4. Step 4: Simplify right side
    59,823x = 16,236,366,084
  5. Step 5: Solve for x
    x = 16,236,366,084/59,823
  6. Step 6: Final answer
    x = 271,406.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.