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Finding the Third Proportional to 103,758 and 150,129

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Solution

The third proportional to 103,758 and 150,129 is: 217,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,758 : 150,129 = 150,129 : x
  2. Step 2: Convert to fraction form
    103,758/150,129 = 150,129/x
  3. Step 3: Cross multiply
    103,758x = 150,129 × 150,129
  4. Step 4: Simplify right side
    103,758x = 22,538,716,641
  5. Step 5: Solve for x
    x = 22,538,716,641/103,758
  6. Step 6: Final answer
    x = 217,223.89

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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.