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Finding the Third Proportional to 107,823 and 163,245

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Solution

The third proportional to 107,823 and 163,245 is: 247,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823 : 163,245 = 163,245 : x
  2. Step 2: Convert to fraction form
    107,823/163,245 = 163,245/x
  3. Step 3: Cross multiply
    107,823x = 163,245 × 163,245
  4. Step 4: Simplify right side
    107,823x = 26,648,930,025
  5. Step 5: Solve for x
    x = 26,648,930,025/107,823
  6. Step 6: Final answer
    x = 247,154.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.