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Finding the Third Proportional to 62,083.97 and 134,971.31

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Solution

The third proportional to 62,083.97 and 134,971.31 is: 293,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,083.97 : 134,971.31 = 134,971.31 : x
  2. Step 2: Convert to fraction form
    62,083.97/134,971.31 = 134,971.31/x
  3. Step 3: Cross multiply
    62,083.97x = 134,971.31 × 134,971.31
  4. Step 4: Simplify right side
    62,083.97x = 18,217,255,197.97
  5. Step 5: Solve for x
    x = 18,217,255,197.97/62,083.97
  6. Step 6: Final answer
    x = 293,429.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.