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Finding the Third Proportional to 44,442 and 89,856

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Solution

The third proportional to 44,442 and 89,856 is: 181,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,442 : 89,856 = 89,856 : x
  2. Step 2: Convert to fraction form
    44,442/89,856 = 89,856/x
  3. Step 3: Cross multiply
    44,442x = 89,856 × 89,856
  4. Step 4: Simplify right side
    44,442x = 8,074,100,736
  5. Step 5: Solve for x
    x = 8,074,100,736/44,442
  6. Step 6: Final answer
    x = 181,677.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.