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Finding the Third Proportional to 50,152 and 77,400

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Solution

The third proportional to 50,152 and 77,400 is: 119,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152 : 77,400 = 77,400 : x
  2. Step 2: Convert to fraction form
    50,152/77,400 = 77,400/x
  3. Step 3: Cross multiply
    50,152x = 77,400 × 77,400
  4. Step 4: Simplify right side
    50,152x = 5,990,760,000
  5. Step 5: Solve for x
    x = 5,990,760,000/50,152
  6. Step 6: Final answer
    x = 119,452.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.