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Finding the Third Proportional to 50,765.50 and 111,656

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Solution

The third proportional to 50,765.50 and 111,656 is: 245,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,765.50 : 111,656 = 111,656 : x
  2. Step 2: Convert to fraction form
    50,765.50/111,656 = 111,656/x
  3. Step 3: Cross multiply
    50,765.50x = 111,656 × 111,656
  4. Step 4: Simplify right side
    50,765.50x = 12,467,062,336
  5. Step 5: Solve for x
    x = 12,467,062,336/50,765.50
  6. Step 6: Final answer
    x = 245,581.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.