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Finding the Third Proportional to 62,336 and 133,416

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Solution

The third proportional to 62,336 and 133,416 is: 285,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,336 : 133,416 = 133,416 : x
  2. Step 2: Convert to fraction form
    62,336/133,416 = 133,416/x
  3. Step 3: Cross multiply
    62,336x = 133,416 × 133,416
  4. Step 4: Simplify right side
    62,336x = 17,799,829,056
  5. Step 5: Solve for x
    x = 17,799,829,056/62,336
  6. Step 6: Final answer
    x = 285,546.54

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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.