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Finding the Third Proportional to 62,119 and 96,366

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Solution

The third proportional to 62,119 and 96,366 is: 149,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,119 : 96,366 = 96,366 : x
  2. Step 2: Convert to fraction form
    62,119/96,366 = 96,366/x
  3. Step 3: Cross multiply
    62,119x = 96,366 × 96,366
  4. Step 4: Simplify right side
    62,119x = 9,286,405,956
  5. Step 5: Solve for x
    x = 9,286,405,956/62,119
  6. Step 6: Final answer
    x = 149,493.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.