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Finding the Third Proportional to 104,578 and 160,005

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Solution

The third proportional to 104,578 and 160,005 is: 244,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,578 : 160,005 = 160,005 : x
  2. Step 2: Convert to fraction form
    104,578/160,005 = 160,005/x
  3. Step 3: Cross multiply
    104,578x = 160,005 × 160,005
  4. Step 4: Simplify right side
    104,578x = 25,601,600,025
  5. Step 5: Solve for x
    x = 25,601,600,025/104,578
  6. Step 6: Final answer
    x = 244,808.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.