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Finding the Third Proportional to 54,577 and 117,550

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Solution

The third proportional to 54,577 and 117,550 is: 253,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577 : 117,550 = 117,550 : x
  2. Step 2: Convert to fraction form
    54,577/117,550 = 117,550/x
  3. Step 3: Cross multiply
    54,577x = 117,550 × 117,550
  4. Step 4: Simplify right side
    54,577x = 13,818,002,500
  5. Step 5: Solve for x
    x = 13,818,002,500/54,577
  6. Step 6: Final answer
    x = 253,183.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.