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Finding the Third Proportional to 50,280.75 and 104,014.13

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Solution

The third proportional to 50,280.75 and 104,014.13 is: 215,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,280.75 : 104,014.13 = 104,014.13 : x
  2. Step 2: Convert to fraction form
    50,280.75/104,014.13 = 104,014.13/x
  3. Step 3: Cross multiply
    50,280.75x = 104,014.13 × 104,014.13
  4. Step 4: Simplify right side
    50,280.75x = 10,818,938,199.52
  5. Step 5: Solve for x
    x = 10,818,938,199.52/50,280.75
  6. Step 6: Final answer
    x = 215,170.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.