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Finding the Third Proportional to 62,193 and 136,050

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Solution

The third proportional to 62,193 and 136,050 is: 297,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,193 : 136,050 = 136,050 : x
  2. Step 2: Convert to fraction form
    62,193/136,050 = 136,050/x
  3. Step 3: Cross multiply
    62,193x = 136,050 × 136,050
  4. Step 4: Simplify right side
    62,193x = 18,509,602,500
  5. Step 5: Solve for x
    x = 18,509,602,500/62,193
  6. Step 6: Final answer
    x = 297,615.53

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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.