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Finding the Third Proportional to 50,368 and 106,718

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Solution

The third proportional to 50,368 and 106,718 is: 226,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,368 : 106,718 = 106,718 : x
  2. Step 2: Convert to fraction form
    50,368/106,718 = 106,718/x
  3. Step 3: Cross multiply
    50,368x = 106,718 × 106,718
  4. Step 4: Simplify right side
    50,368x = 11,388,731,524
  5. Step 5: Solve for x
    x = 11,388,731,524/50,368
  6. Step 6: Final answer
    x = 226,110.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.