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Finding the Third Proportional to 71,652 and 151,844

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Solution

The third proportional to 71,652 and 151,844 is: 321,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652 : 151,844 = 151,844 : x
  2. Step 2: Convert to fraction form
    71,652/151,844 = 151,844/x
  3. Step 3: Cross multiply
    71,652x = 151,844 × 151,844
  4. Step 4: Simplify right side
    71,652x = 23,056,600,336
  5. Step 5: Solve for x
    x = 23,056,600,336/71,652
  6. Step 6: Final answer
    x = 321,785.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.