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Finding the Third Proportional to 62,354 and 133,462

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Solution

The third proportional to 62,354 and 133,462 is: 285,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,354 : 133,462 = 133,462 : x
  2. Step 2: Convert to fraction form
    62,354/133,462 = 133,462/x
  3. Step 3: Cross multiply
    62,354x = 133,462 × 133,462
  4. Step 4: Simplify right side
    62,354x = 17,812,105,444
  5. Step 5: Solve for x
    x = 17,812,105,444/62,354
  6. Step 6: Final answer
    x = 285,660.99

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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.