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Finding the Third Proportional to 64,524 and 150,795

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Solution

The third proportional to 64,524 and 150,795 is: 352,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524 : 150,795 = 150,795 : x
  2. Step 2: Convert to fraction form
    64,524/150,795 = 150,795/x
  3. Step 3: Cross multiply
    64,524x = 150,795 × 150,795
  4. Step 4: Simplify right side
    64,524x = 22,739,132,025
  5. Step 5: Solve for x
    x = 22,739,132,025/64,524
  6. Step 6: Final answer
    x = 352,413.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.