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Finding the Third Proportional to 33,952 and 73,106

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Solution

The third proportional to 33,952 and 73,106 is: 157,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952 : 73,106 = 73,106 : x
  2. Step 2: Convert to fraction form
    33,952/73,106 = 73,106/x
  3. Step 3: Cross multiply
    33,952x = 73,106 × 73,106
  4. Step 4: Simplify right side
    33,952x = 5,344,487,236
  5. Step 5: Solve for x
    x = 5,344,487,236/33,952
  6. Step 6: Final answer
    x = 157,413.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.