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Finding the Third Proportional to 50,094 and 118,246.50

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Solution

The third proportional to 50,094 and 118,246.50 is: 279,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,094 : 118,246.50 = 118,246.50 : x
  2. Step 2: Convert to fraction form
    50,094/118,246.50 = 118,246.50/x
  3. Step 3: Cross multiply
    50,094x = 118,246.50 × 118,246.50
  4. Step 4: Simplify right side
    50,094x = 13,982,234,762.25
  5. Step 5: Solve for x
    x = 13,982,234,762.25/50,094
  6. Step 6: Final answer
    x = 279,119.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.