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Finding the Third Proportional to 59,524 and 123,979

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Solution

The third proportional to 59,524 and 123,979 is: 258,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,524 : 123,979 = 123,979 : x
  2. Step 2: Convert to fraction form
    59,524/123,979 = 123,979/x
  3. Step 3: Cross multiply
    59,524x = 123,979 × 123,979
  4. Step 4: Simplify right side
    59,524x = 15,370,792,441
  5. Step 5: Solve for x
    x = 15,370,792,441/59,524
  6. Step 6: Final answer
    x = 258,228.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.