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Finding the Third Proportional to 73,170 and 149,796

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Solution

The third proportional to 73,170 and 149,796 is: 306,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 149,796 = 149,796 : x
  2. Step 2: Convert to fraction form
    73,170/149,796 = 149,796/x
  3. Step 3: Cross multiply
    73,170x = 149,796 × 149,796
  4. Step 4: Simplify right side
    73,170x = 22,438,841,616
  5. Step 5: Solve for x
    x = 22,438,841,616/73,170
  6. Step 6: Final answer
    x = 306,667.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.