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Finding the Third Proportional to 62,634 and 137,334

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Solution

The third proportional to 62,634 and 137,334 is: 301,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,634 : 137,334 = 137,334 : x
  2. Step 2: Convert to fraction form
    62,634/137,334 = 137,334/x
  3. Step 3: Cross multiply
    62,634x = 137,334 × 137,334
  4. Step 4: Simplify right side
    62,634x = 18,860,627,556
  5. Step 5: Solve for x
    x = 18,860,627,556/62,634
  6. Step 6: Final answer
    x = 301,124.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.