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Finding the Third Proportional to 72,721 and 151,668

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Solution

The third proportional to 72,721 and 151,668 is: 316,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,721 : 151,668 = 151,668 : x
  2. Step 2: Convert to fraction form
    72,721/151,668 = 151,668/x
  3. Step 3: Cross multiply
    72,721x = 151,668 × 151,668
  4. Step 4: Simplify right side
    72,721x = 23,003,182,224
  5. Step 5: Solve for x
    x = 23,003,182,224/72,721
  6. Step 6: Final answer
    x = 316,321.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.