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Finding the Third Proportional to 45,198 and 66,874.36

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Solution

The third proportional to 45,198 and 66,874.36 is: 98,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 66,874.36 = 66,874.36 : x
  2. Step 2: Convert to fraction form
    45,198/66,874.36 = 66,874.36/x
  3. Step 3: Cross multiply
    45,198x = 66,874.36 × 66,874.36
  4. Step 4: Simplify right side
    45,198x = 4,472,179,941.82
  5. Step 5: Solve for x
    x = 4,472,179,941.82/45,198
  6. Step 6: Final answer
    x = 98,946.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.