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Finding the Third Proportional to 103,910.50 and 161,212

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Solution

The third proportional to 103,910.50 and 161,212 is: 250,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910.50 : 161,212 = 161,212 : x
  2. Step 2: Convert to fraction form
    103,910.50/161,212 = 161,212/x
  3. Step 3: Cross multiply
    103,910.50x = 161,212 × 161,212
  4. Step 4: Simplify right side
    103,910.50x = 25,989,308,944
  5. Step 5: Solve for x
    x = 25,989,308,944/103,910.50
  6. Step 6: Final answer
    x = 250,112.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.