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Finding the Third Proportional to 102,236.75 and 155,194.38

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Solution

The third proportional to 102,236.75 and 155,194.38 is: 235,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,236.75 : 155,194.38 = 155,194.38 : x
  2. Step 2: Convert to fraction form
    102,236.75/155,194.38 = 155,194.38/x
  3. Step 3: Cross multiply
    102,236.75x = 155,194.38 × 155,194.38
  4. Step 4: Simplify right side
    102,236.75x = 24,085,294,031.64
  5. Step 5: Solve for x
    x = 24,085,294,031.64/102,236.75
  6. Step 6: Final answer
    x = 235,583.53

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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.