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Finding the Third Proportional to 45,198 and 67,523.63

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Solution

The third proportional to 45,198 and 67,523.63 is: 100,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 67,523.63 = 67,523.63 : x
  2. Step 2: Convert to fraction form
    45,198/67,523.63 = 67,523.63/x
  3. Step 3: Cross multiply
    45,198x = 67,523.63 × 67,523.63
  4. Step 4: Simplify right side
    45,198x = 4,559,439,933.14
  5. Step 5: Solve for x
    x = 4,559,439,933.14/45,198
  6. Step 6: Final answer
    x = 100,877.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.