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Finding the Third Proportional to 50,014.50 and 77,418

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Solution

The third proportional to 50,014.50 and 77,418 is: 119,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,014.50 : 77,418 = 77,418 : x
  2. Step 2: Convert to fraction form
    50,014.50/77,418 = 77,418/x
  3. Step 3: Cross multiply
    50,014.50x = 77,418 × 77,418
  4. Step 4: Simplify right side
    50,014.50x = 5,993,546,724
  5. Step 5: Solve for x
    x = 5,993,546,724/50,014.50
  6. Step 6: Final answer
    x = 119,836.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.