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Finding the Third Proportional to 50,641 and 110,817

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Solution

The third proportional to 50,641 and 110,817 is: 242,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641 : 110,817 = 110,817 : x
  2. Step 2: Convert to fraction form
    50,641/110,817 = 110,817/x
  3. Step 3: Cross multiply
    50,641x = 110,817 × 110,817
  4. Step 4: Simplify right side
    50,641x = 12,280,407,489
  5. Step 5: Solve for x
    x = 12,280,407,489/50,641
  6. Step 6: Final answer
    x = 242,499.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.