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Finding the Third Proportional to 73,720 and 159,004

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Solution

The third proportional to 73,720 and 159,004 is: 342,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,720 : 159,004 = 159,004 : x
  2. Step 2: Convert to fraction form
    73,720/159,004 = 159,004/x
  3. Step 3: Cross multiply
    73,720x = 159,004 × 159,004
  4. Step 4: Simplify right side
    73,720x = 25,282,272,016
  5. Step 5: Solve for x
    x = 25,282,272,016/73,720
  6. Step 6: Final answer
    x = 342,949.97

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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.