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Finding the Third Proportional to 103,722 and 156,537

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Solution

The third proportional to 103,722 and 156,537 is: 236,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,722 : 156,537 = 156,537 : x
  2. Step 2: Convert to fraction form
    103,722/156,537 = 156,537/x
  3. Step 3: Cross multiply
    103,722x = 156,537 × 156,537
  4. Step 4: Simplify right side
    103,722x = 24,503,832,369
  5. Step 5: Solve for x
    x = 24,503,832,369/103,722
  6. Step 6: Final answer
    x = 236,245.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.