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Finding the Third Proportional to 44,054 and 89,648

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Solution

The third proportional to 44,054 and 89,648 is: 182,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,054 : 89,648 = 89,648 : x
  2. Step 2: Convert to fraction form
    44,054/89,648 = 89,648/x
  3. Step 3: Cross multiply
    44,054x = 89,648 × 89,648
  4. Step 4: Simplify right side
    44,054x = 8,036,763,904
  5. Step 5: Solve for x
    x = 8,036,763,904/44,054
  6. Step 6: Final answer
    x = 182,429.83

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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.