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Finding the Third Proportional to 63,983.25 and 104,726.25

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Solution

The third proportional to 63,983.25 and 104,726.25 is: 171,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,983.25 : 104,726.25 = 104,726.25 : x
  2. Step 2: Convert to fraction form
    63,983.25/104,726.25 = 104,726.25/x
  3. Step 3: Cross multiply
    63,983.25x = 104,726.25 × 104,726.25
  4. Step 4: Simplify right side
    63,983.25x = 10,967,587,439.06
  5. Step 5: Solve for x
    x = 10,967,587,439.06/63,983.25
  6. Step 6: Final answer
    x = 171,413.42

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.