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Finding the Third Proportional to 102,236.50 and 155,194

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Solution

The third proportional to 102,236.50 and 155,194 is: 235,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,236.50 : 155,194 = 155,194 : x
  2. Step 2: Convert to fraction form
    102,236.50/155,194 = 155,194/x
  3. Step 3: Cross multiply
    102,236.50x = 155,194 × 155,194
  4. Step 4: Simplify right side
    102,236.50x = 24,085,177,636
  5. Step 5: Solve for x
    x = 24,085,177,636/102,236.50
  6. Step 6: Final answer
    x = 235,582.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.