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Finding the Third Proportional to 103,408.50 and 165,910.50

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Solution

The third proportional to 103,408.50 and 165,910.50 is: 266,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408.50 : 165,910.50 = 165,910.50 : x
  2. Step 2: Convert to fraction form
    103,408.50/165,910.50 = 165,910.50/x
  3. Step 3: Cross multiply
    103,408.50x = 165,910.50 × 165,910.50
  4. Step 4: Simplify right side
    103,408.50x = 27,526,294,010.25
  5. Step 5: Solve for x
    x = 27,526,294,010.25/103,408.50
  6. Step 6: Final answer
    x = 266,189.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.