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Finding the Third Proportional to 50,223 and 77,760

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Solution

The third proportional to 50,223 and 77,760 is: 120,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223 : 77,760 = 77,760 : x
  2. Step 2: Convert to fraction form
    50,223/77,760 = 77,760/x
  3. Step 3: Cross multiply
    50,223x = 77,760 × 77,760
  4. Step 4: Simplify right side
    50,223x = 6,046,617,600
  5. Step 5: Solve for x
    x = 6,046,617,600/50,223
  6. Step 6: Final answer
    x = 120,395.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.