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Finding the Third Proportional to 71,530 and 155,006

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Solution

The third proportional to 71,530 and 155,006 is: 335,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530 : 155,006 = 155,006 : x
  2. Step 2: Convert to fraction form
    71,530/155,006 = 155,006/x
  3. Step 3: Cross multiply
    71,530x = 155,006 × 155,006
  4. Step 4: Simplify right side
    71,530x = 24,026,860,036
  5. Step 5: Solve for x
    x = 24,026,860,036/71,530
  6. Step 6: Final answer
    x = 335,899.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.