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Finding the Third Proportional to 36,542 and 78,913

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Solution

The third proportional to 36,542 and 78,913 is: 170,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542 : 78,913 = 78,913 : x
  2. Step 2: Convert to fraction form
    36,542/78,913 = 78,913/x
  3. Step 3: Cross multiply
    36,542x = 78,913 × 78,913
  4. Step 4: Simplify right side
    36,542x = 6,227,261,569
  5. Step 5: Solve for x
    x = 6,227,261,569/36,542
  6. Step 6: Final answer
    x = 170,413.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.