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Finding the Third Proportional to 50,629.13 and 117,210.56

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Solution

The third proportional to 50,629.13 and 117,210.56 is: 271,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,629.13 : 117,210.56 = 117,210.56 : x
  2. Step 2: Convert to fraction form
    50,629.13/117,210.56 = 117,210.56/x
  3. Step 3: Cross multiply
    50,629.13x = 117,210.56 × 117,210.56
  4. Step 4: Simplify right side
    50,629.13x = 13,738,315,961.57
  5. Step 5: Solve for x
    x = 13,738,315,961.57/50,629.13
  6. Step 6: Final answer
    x = 271,352.03

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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.