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Finding the Third Proportional to 73,132 and 152,012

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Solution

The third proportional to 73,132 and 152,012 is: 315,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132 : 152,012 = 152,012 : x
  2. Step 2: Convert to fraction form
    73,132/152,012 = 152,012/x
  3. Step 3: Cross multiply
    73,132x = 152,012 × 152,012
  4. Step 4: Simplify right side
    73,132x = 23,107,648,144
  5. Step 5: Solve for x
    x = 23,107,648,144/73,132
  6. Step 6: Final answer
    x = 315,971.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.