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Finding the Third Proportional to 62,374 and 133,334

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Solution

The third proportional to 62,374 and 133,334 is: 285,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,374 : 133,334 = 133,334 : x
  2. Step 2: Convert to fraction form
    62,374/133,334 = 133,334/x
  3. Step 3: Cross multiply
    62,374x = 133,334 × 133,334
  4. Step 4: Simplify right side
    62,374x = 17,777,955,556
  5. Step 5: Solve for x
    x = 17,777,955,556/62,374
  6. Step 6: Final answer
    x = 285,021.89

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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.