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Finding the Third Proportional to 44,006 and 89,544

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Solution

The third proportional to 44,006 and 89,544 is: 182,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,006 : 89,544 = 89,544 : x
  2. Step 2: Convert to fraction form
    44,006/89,544 = 89,544/x
  3. Step 3: Cross multiply
    44,006x = 89,544 × 89,544
  4. Step 4: Simplify right side
    44,006x = 8,018,127,936
  5. Step 5: Solve for x
    x = 8,018,127,936/44,006
  6. Step 6: Final answer
    x = 182,205.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.