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Finding the Third Proportional to 64,413.75 and 137,388.75

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Solution

The third proportional to 64,413.75 and 137,388.75 is: 293,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,413.75 : 137,388.75 = 137,388.75 : x
  2. Step 2: Convert to fraction form
    64,413.75/137,388.75 = 137,388.75/x
  3. Step 3: Cross multiply
    64,413.75x = 137,388.75 × 137,388.75
  4. Step 4: Simplify right side
    64,413.75x = 18,875,668,626.56
  5. Step 5: Solve for x
    x = 18,875,668,626.56/64,413.75
  6. Step 6: Final answer
    x = 293,037.88

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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.