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Finding the Third Proportional to 50,333 and 70,544

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Solution

The third proportional to 50,333 and 70,544 is: 98,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,333 : 70,544 = 70,544 : x
  2. Step 2: Convert to fraction form
    50,333/70,544 = 70,544/x
  3. Step 3: Cross multiply
    50,333x = 70,544 × 70,544
  4. Step 4: Simplify right side
    50,333x = 4,976,455,936
  5. Step 5: Solve for x
    x = 4,976,455,936/50,333
  6. Step 6: Final answer
    x = 98,870.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.