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Finding the Third Proportional to 73,170 and 149,526

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Solution

The third proportional to 73,170 and 149,526 is: 305,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 149,526 = 149,526 : x
  2. Step 2: Convert to fraction form
    73,170/149,526 = 149,526/x
  3. Step 3: Cross multiply
    73,170x = 149,526 × 149,526
  4. Step 4: Simplify right side
    73,170x = 22,358,024,676
  5. Step 5: Solve for x
    x = 22,358,024,676/73,170
  6. Step 6: Final answer
    x = 305,562.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.