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Finding the Third Proportional to 102,375.75 and 154,995.56

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Solution

The third proportional to 102,375.75 and 154,995.56 is: 234,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,375.75 : 154,995.56 = 154,995.56 : x
  2. Step 2: Convert to fraction form
    102,375.75/154,995.56 = 154,995.56/x
  3. Step 3: Cross multiply
    102,375.75x = 154,995.56 × 154,995.56
  4. Step 4: Simplify right side
    102,375.75x = 24,023,624,394.69
  5. Step 5: Solve for x
    x = 24,023,624,394.69/102,375.75
  6. Step 6: Final answer
    x = 234,661.28

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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.