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Finding the Third Proportional to 104,069 and 156,118

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Solution

The third proportional to 104,069 and 156,118 is: 234,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 156,118 = 156,118 : x
  2. Step 2: Convert to fraction form
    104,069/156,118 = 156,118/x
  3. Step 3: Cross multiply
    104,069x = 156,118 × 156,118
  4. Step 4: Simplify right side
    104,069x = 24,372,829,924
  5. Step 5: Solve for x
    x = 24,372,829,924/104,069
  6. Step 6: Final answer
    x = 234,198.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.