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Finding the Third Proportional to 62,329 and 133,514

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Solution

The third proportional to 62,329 and 133,514 is: 285,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,329 : 133,514 = 133,514 : x
  2. Step 2: Convert to fraction form
    62,329/133,514 = 133,514/x
  3. Step 3: Cross multiply
    62,329x = 133,514 × 133,514
  4. Step 4: Simplify right side
    62,329x = 17,825,988,196
  5. Step 5: Solve for x
    x = 17,825,988,196/62,329
  6. Step 6: Final answer
    x = 285,998.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.