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Finding the Third Proportional to 56,333 and 105,571

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Solution

The third proportional to 56,333 and 105,571 is: 197,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,333 : 105,571 = 105,571 : x
  2. Step 2: Convert to fraction form
    56,333/105,571 = 105,571/x
  3. Step 3: Cross multiply
    56,333x = 105,571 × 105,571
  4. Step 4: Simplify right side
    56,333x = 11,145,236,041
  5. Step 5: Solve for x
    x = 11,145,236,041/56,333
  6. Step 6: Final answer
    x = 197,845.60

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.