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Finding the Third Proportional to 62,134.50 and 132,976.50

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Solution

The third proportional to 62,134.50 and 132,976.50 is: 284,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,134.50 : 132,976.50 = 132,976.50 : x
  2. Step 2: Convert to fraction form
    62,134.50/132,976.50 = 132,976.50/x
  3. Step 3: Cross multiply
    62,134.50x = 132,976.50 × 132,976.50
  4. Step 4: Simplify right side
    62,134.50x = 17,682,749,552.25
  5. Step 5: Solve for x
    x = 17,682,749,552.25/62,134.50
  6. Step 6: Final answer
    x = 284,588.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.