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Finding the Third Proportional to 62,329 and 133,415

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Solution

The third proportional to 62,329 and 133,415 is: 285,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,329 : 133,415 = 133,415 : x
  2. Step 2: Convert to fraction form
    62,329/133,415 = 133,415/x
  3. Step 3: Cross multiply
    62,329x = 133,415 × 133,415
  4. Step 4: Simplify right side
    62,329x = 17,799,562,225
  5. Step 5: Solve for x
    x = 17,799,562,225/62,329
  6. Step 6: Final answer
    x = 285,574.33

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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.