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Finding the Third Proportional to 73,053 and 151,722

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Solution

The third proportional to 73,053 and 151,722 is: 315,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,053 : 151,722 = 151,722 : x
  2. Step 2: Convert to fraction form
    73,053/151,722 = 151,722/x
  3. Step 3: Cross multiply
    73,053x = 151,722 × 151,722
  4. Step 4: Simplify right side
    73,053x = 23,019,565,284
  5. Step 5: Solve for x
    x = 23,019,565,284/73,053
  6. Step 6: Final answer
    x = 315,107.73

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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.