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Finding the Third Proportional to 103,999 and 156,734

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Solution

The third proportional to 103,999 and 156,734 is: 236,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,999 : 156,734 = 156,734 : x
  2. Step 2: Convert to fraction form
    103,999/156,734 = 156,734/x
  3. Step 3: Cross multiply
    103,999x = 156,734 × 156,734
  4. Step 4: Simplify right side
    103,999x = 24,565,546,756
  5. Step 5: Solve for x
    x = 24,565,546,756/103,999
  6. Step 6: Final answer
    x = 236,209.45

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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.