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Finding the Third Proportional to 44,635 and 105,186

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Solution

The third proportional to 44,635 and 105,186 is: 247,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,635 : 105,186 = 105,186 : x
  2. Step 2: Convert to fraction form
    44,635/105,186 = 105,186/x
  3. Step 3: Cross multiply
    44,635x = 105,186 × 105,186
  4. Step 4: Simplify right side
    44,635x = 11,064,094,596
  5. Step 5: Solve for x
    x = 11,064,094,596/44,635
  6. Step 6: Final answer
    x = 247,879.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.