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Finding the Third Proportional to 73,722 and 159,008

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Solution

The third proportional to 73,722 and 159,008 is: 342,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722 : 159,008 = 159,008 : x
  2. Step 2: Convert to fraction form
    73,722/159,008 = 159,008/x
  3. Step 3: Cross multiply
    73,722x = 159,008 × 159,008
  4. Step 4: Simplify right side
    73,722x = 25,283,544,064
  5. Step 5: Solve for x
    x = 25,283,544,064/73,722
  6. Step 6: Final answer
    x = 342,957.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.