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Finding the Third Proportional to 44,603 and 61,162

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Solution

The third proportional to 44,603 and 61,162 is: 83,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,603 : 61,162 = 61,162 : x
  2. Step 2: Convert to fraction form
    44,603/61,162 = 61,162/x
  3. Step 3: Cross multiply
    44,603x = 61,162 × 61,162
  4. Step 4: Simplify right side
    44,603x = 3,740,790,244
  5. Step 5: Solve for x
    x = 3,740,790,244/44,603
  6. Step 6: Final answer
    x = 83,868.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.