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Finding the Third Proportional to 50,720 and 74,200

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Solution

The third proportional to 50,720 and 74,200 is: 108,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,720 : 74,200 = 74,200 : x
  2. Step 2: Convert to fraction form
    50,720/74,200 = 74,200/x
  3. Step 3: Cross multiply
    50,720x = 74,200 × 74,200
  4. Step 4: Simplify right side
    50,720x = 5,505,640,000
  5. Step 5: Solve for x
    x = 5,505,640,000/50,720
  6. Step 6: Final answer
    x = 108,549.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.