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Finding the Third Proportional to 73,910 and 156,644

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Solution

The third proportional to 73,910 and 156,644 is: 331,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,910 : 156,644 = 156,644 : x
  2. Step 2: Convert to fraction form
    73,910/156,644 = 156,644/x
  3. Step 3: Cross multiply
    73,910x = 156,644 × 156,644
  4. Step 4: Simplify right side
    73,910x = 24,537,342,736
  5. Step 5: Solve for x
    x = 24,537,342,736/73,910
  6. Step 6: Final answer
    x = 331,989.48

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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.