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Finding the Third Proportional to 62,295.75 and 132,747.50

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Solution

The third proportional to 62,295.75 and 132,747.50 is: 282,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,295.75 : 132,747.50 = 132,747.50 : x
  2. Step 2: Convert to fraction form
    62,295.75/132,747.50 = 132,747.50/x
  3. Step 3: Cross multiply
    62,295.75x = 132,747.50 × 132,747.50
  4. Step 4: Simplify right side
    62,295.75x = 17,621,898,756.25
  5. Step 5: Solve for x
    x = 17,621,898,756.25/62,295.75
  6. Step 6: Final answer
    x = 282,874.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.