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Finding the Third Proportional to 62,295.33 and 132,746.34

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Solution

The third proportional to 62,295.33 and 132,746.34 is: 282,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,295.33 : 132,746.34 = 132,746.34 : x
  2. Step 2: Convert to fraction form
    62,295.33/132,746.34 = 132,746.34/x
  3. Step 3: Cross multiply
    62,295.33x = 132,746.34 × 132,746.34
  4. Step 4: Simplify right side
    62,295.33x = 17,621,591,778.99
  5. Step 5: Solve for x
    x = 17,621,591,778.99/62,295.33
  6. Step 6: Final answer
    x = 282,871.80

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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.