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Finding the Third Proportional to 45,517 and 97,876

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Solution

The third proportional to 45,517 and 97,876 is: 210,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,517 : 97,876 = 97,876 : x
  2. Step 2: Convert to fraction form
    45,517/97,876 = 97,876/x
  3. Step 3: Cross multiply
    45,517x = 97,876 × 97,876
  4. Step 4: Simplify right side
    45,517x = 9,579,711,376
  5. Step 5: Solve for x
    x = 9,579,711,376/45,517
  6. Step 6: Final answer
    x = 210,464.47

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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.