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Finding the Third Proportional to 104,069 and 156,833

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Solution

The third proportional to 104,069 and 156,833 is: 236,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 156,833 = 156,833 : x
  2. Step 2: Convert to fraction form
    104,069/156,833 = 156,833/x
  3. Step 3: Cross multiply
    104,069x = 156,833 × 156,833
  4. Step 4: Simplify right side
    104,069x = 24,596,589,889
  5. Step 5: Solve for x
    x = 24,596,589,889/104,069
  6. Step 6: Final answer
    x = 236,348.86

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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.