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Finding the Third Proportional to 50,240 and 76,000

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Solution

The third proportional to 50,240 and 76,000 is: 114,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,240 : 76,000 = 76,000 : x
  2. Step 2: Convert to fraction form
    50,240/76,000 = 76,000/x
  3. Step 3: Cross multiply
    50,240x = 76,000 × 76,000
  4. Step 4: Simplify right side
    50,240x = 5,776,000,000
  5. Step 5: Solve for x
    x = 5,776,000,000/50,240
  6. Step 6: Final answer
    x = 114,968.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.