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Finding the Third Proportional to 50,506.03 and 77,296.78

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Solution

The third proportional to 50,506.03 and 77,296.78 is: 118,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.03 : 77,296.78 = 77,296.78 : x
  2. Step 2: Convert to fraction form
    50,506.03/77,296.78 = 77,296.78/x
  3. Step 3: Cross multiply
    50,506.03x = 77,296.78 × 77,296.78
  4. Step 4: Simplify right side
    50,506.03x = 5,974,792,391.61
  5. Step 5: Solve for x
    x = 5,974,792,391.61/50,506.03
  6. Step 6: Final answer
    x = 118,298.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.