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Finding the Third Proportional to 50,627 and 117,205

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Solution

The third proportional to 50,627 and 117,205 is: 271,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,627 : 117,205 = 117,205 : x
  2. Step 2: Convert to fraction form
    50,627/117,205 = 117,205/x
  3. Step 3: Cross multiply
    50,627x = 117,205 × 117,205
  4. Step 4: Simplify right side
    50,627x = 13,737,012,025
  5. Step 5: Solve for x
    x = 13,737,012,025/50,627
  6. Step 6: Final answer
    x = 271,337.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.