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Finding the Third Proportional to 62,544 and 136,106

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Solution

The third proportional to 62,544 and 136,106 is: 296,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,544 : 136,106 = 136,106 : x
  2. Step 2: Convert to fraction form
    62,544/136,106 = 136,106/x
  3. Step 3: Cross multiply
    62,544x = 136,106 × 136,106
  4. Step 4: Simplify right side
    62,544x = 18,524,843,236
  5. Step 5: Solve for x
    x = 18,524,843,236/62,544
  6. Step 6: Final answer
    x = 296,188.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.