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Finding the Third Proportional to 50,512 and 77,306

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Solution

The third proportional to 50,512 and 77,306 is: 118,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512 : 77,306 = 77,306 : x
  2. Step 2: Convert to fraction form
    50,512/77,306 = 77,306/x
  3. Step 3: Cross multiply
    50,512x = 77,306 × 77,306
  4. Step 4: Simplify right side
    50,512x = 5,976,217,636
  5. Step 5: Solve for x
    x = 5,976,217,636/50,512
  6. Step 6: Final answer
    x = 118,312.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.