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Finding the Third Proportional to 103,778 and 156,621

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Solution

The third proportional to 103,778 and 156,621 is: 236,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,778 : 156,621 = 156,621 : x
  2. Step 2: Convert to fraction form
    103,778/156,621 = 156,621/x
  3. Step 3: Cross multiply
    103,778x = 156,621 × 156,621
  4. Step 4: Simplify right side
    103,778x = 24,530,137,641
  5. Step 5: Solve for x
    x = 24,530,137,641/103,778
  6. Step 6: Final answer
    x = 236,371.27

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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.