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Finding the Third Proportional to 102,163.50 and 153,384.75

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Solution

The third proportional to 102,163.50 and 153,384.75 is: 230,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.50 : 153,384.75 = 153,384.75 : x
  2. Step 2: Convert to fraction form
    102,163.50/153,384.75 = 153,384.75/x
  3. Step 3: Cross multiply
    102,163.50x = 153,384.75 × 153,384.75
  4. Step 4: Simplify right side
    102,163.50x = 23,526,881,532.56
  5. Step 5: Solve for x
    x = 23,526,881,532.56/102,163.50
  6. Step 6: Final answer
    x = 230,286.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.