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Finding the Third Proportional to 50,738.63 and 72,120.38

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Solution

The third proportional to 50,738.63 and 72,120.38 is: 102,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.63 : 72,120.38 = 72,120.38 : x
  2. Step 2: Convert to fraction form
    50,738.63/72,120.38 = 72,120.38/x
  3. Step 3: Cross multiply
    50,738.63x = 72,120.38 × 72,120.38
  4. Step 4: Simplify right side
    50,738.63x = 5,201,348,490.14
  5. Step 5: Solve for x
    x = 5,201,348,490.14/50,738.63
  6. Step 6: Final answer
    x = 102,512.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.