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Finding the Third Proportional to 50,046.50 and 77,940

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Solution

The third proportional to 50,046.50 and 77,940 is: 121,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,046.50 : 77,940 = 77,940 : x
  2. Step 2: Convert to fraction form
    50,046.50/77,940 = 77,940/x
  3. Step 3: Cross multiply
    50,046.50x = 77,940 × 77,940
  4. Step 4: Simplify right side
    50,046.50x = 6,074,643,600
  5. Step 5: Solve for x
    x = 6,074,643,600/50,046.50
  6. Step 6: Final answer
    x = 121,379.99

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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.