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Finding the Third Proportional to 62,329 and 137,119

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Solution

The third proportional to 62,329 and 137,119 is: 301,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,329 : 137,119 = 137,119 : x
  2. Step 2: Convert to fraction form
    62,329/137,119 = 137,119/x
  3. Step 3: Cross multiply
    62,329x = 137,119 × 137,119
  4. Step 4: Simplify right side
    62,329x = 18,801,620,161
  5. Step 5: Solve for x
    x = 18,801,620,161/62,329
  6. Step 6: Final answer
    x = 301,651.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.