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Finding the Third Proportional to 103,754 and 150,123

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Solution

The third proportional to 103,754 and 150,123 is: 217,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,754 : 150,123 = 150,123 : x
  2. Step 2: Convert to fraction form
    103,754/150,123 = 150,123/x
  3. Step 3: Cross multiply
    103,754x = 150,123 × 150,123
  4. Step 4: Simplify right side
    103,754x = 22,536,915,129
  5. Step 5: Solve for x
    x = 22,536,915,129/103,754
  6. Step 6: Final answer
    x = 217,214.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.