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Finding the Third Proportional to 50,612 and 109,570

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Solution

The third proportional to 50,612 and 109,570 is: 237,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,612 : 109,570 = 109,570 : x
  2. Step 2: Convert to fraction form
    50,612/109,570 = 109,570/x
  3. Step 3: Cross multiply
    50,612x = 109,570 × 109,570
  4. Step 4: Simplify right side
    50,612x = 12,005,584,900
  5. Step 5: Solve for x
    x = 12,005,584,900/50,612
  6. Step 6: Final answer
    x = 237,208.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.