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Finding the Third Proportional to 45,550 and 98,876

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Solution

The third proportional to 45,550 and 98,876 is: 214,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,550 : 98,876 = 98,876 : x
  2. Step 2: Convert to fraction form
    45,550/98,876 = 98,876/x
  3. Step 3: Cross multiply
    45,550x = 98,876 × 98,876
  4. Step 4: Simplify right side
    45,550x = 9,776,463,376
  5. Step 5: Solve for x
    x = 9,776,463,376/45,550
  6. Step 6: Final answer
    x = 214,631.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.