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Finding the Third Proportional to 50,966 and 78,723

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Solution

The third proportional to 50,966 and 78,723 is: 121,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,966 : 78,723 = 78,723 : x
  2. Step 2: Convert to fraction form
    50,966/78,723 = 78,723/x
  3. Step 3: Cross multiply
    50,966x = 78,723 × 78,723
  4. Step 4: Simplify right side
    50,966x = 6,197,310,729
  5. Step 5: Solve for x
    x = 6,197,310,729/50,966
  6. Step 6: Final answer
    x = 121,596.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.