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Finding the Third Proportional to 50,389.50 and 78,647.25

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Solution

The third proportional to 50,389.50 and 78,647.25 is: 122,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,389.50 : 78,647.25 = 78,647.25 : x
  2. Step 2: Convert to fraction form
    50,389.50/78,647.25 = 78,647.25/x
  3. Step 3: Cross multiply
    50,389.50x = 78,647.25 × 78,647.25
  4. Step 4: Simplify right side
    50,389.50x = 6,185,389,932.56
  5. Step 5: Solve for x
    x = 6,185,389,932.56/50,389.50
  6. Step 6: Final answer
    x = 122,751.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.