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Finding the Third Proportional to 73,588 and 159,980

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Solution

The third proportional to 73,588 and 159,980 is: 347,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,588 : 159,980 = 159,980 : x
  2. Step 2: Convert to fraction form
    73,588/159,980 = 159,980/x
  3. Step 3: Cross multiply
    73,588x = 159,980 × 159,980
  4. Step 4: Simplify right side
    73,588x = 25,593,600,400
  5. Step 5: Solve for x
    x = 25,593,600,400/73,588
  6. Step 6: Final answer
    x = 347,795.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.