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Finding the Third Proportional to 50,346.75 and 117,586.88

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Solution

The third proportional to 50,346.75 and 117,586.88 is: 274,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,346.75 : 117,586.88 = 117,586.88 : x
  2. Step 2: Convert to fraction form
    50,346.75/117,586.88 = 117,586.88/x
  3. Step 3: Cross multiply
    50,346.75x = 117,586.88 × 117,586.88
  4. Step 4: Simplify right side
    50,346.75x = 13,826,673,172.27
  5. Step 5: Solve for x
    x = 13,826,673,172.27/50,346.75
  6. Step 6: Final answer
    x = 274,628.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.