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Finding the Third Proportional to 50,406.75 and 74,458.13

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Solution

The third proportional to 50,406.75 and 74,458.13 is: 109,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,406.75 : 74,458.13 = 74,458.13 : x
  2. Step 2: Convert to fraction form
    50,406.75/74,458.13 = 74,458.13/x
  3. Step 3: Cross multiply
    50,406.75x = 74,458.13 × 74,458.13
  4. Step 4: Simplify right side
    50,406.75x = 5,544,012,378.52
  5. Step 5: Solve for x
    x = 5,544,012,378.52/50,406.75
  6. Step 6: Final answer
    x = 109,985.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.