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Finding the Third Proportional to 50,086.50 and 78,003

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Solution

The third proportional to 50,086.50 and 78,003 is: 121,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,086.50 : 78,003 = 78,003 : x
  2. Step 2: Convert to fraction form
    50,086.50/78,003 = 78,003/x
  3. Step 3: Cross multiply
    50,086.50x = 78,003 × 78,003
  4. Step 4: Simplify right side
    50,086.50x = 6,084,468,009
  5. Step 5: Solve for x
    x = 6,084,468,009/50,086.50
  6. Step 6: Final answer
    x = 121,479.20

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