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Finding the Third Proportional to 73,647 and 156,906

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Solution

The third proportional to 73,647 and 156,906 is: 334,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,647 : 156,906 = 156,906 : x
  2. Step 2: Convert to fraction form
    73,647/156,906 = 156,906/x
  3. Step 3: Cross multiply
    73,647x = 156,906 × 156,906
  4. Step 4: Simplify right side
    73,647x = 24,619,492,836
  5. Step 5: Solve for x
    x = 24,619,492,836/73,647
  6. Step 6: Final answer
    x = 334,290.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.