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Finding the Third Proportional to 50,265 and 61,102.13

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Solution

The third proportional to 50,265 and 61,102.13 is: 74,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,265 : 61,102.13 = 61,102.13 : x
  2. Step 2: Convert to fraction form
    50,265/61,102.13 = 61,102.13/x
  3. Step 3: Cross multiply
    50,265x = 61,102.13 × 61,102.13
  4. Step 4: Simplify right side
    50,265x = 3,733,469,679.52
  5. Step 5: Solve for x
    x = 3,733,469,679.52/50,265
  6. Step 6: Final answer
    x = 74,275.73

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.