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Finding the Third Proportional to 44,505 and 95,328

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Solution

The third proportional to 44,505 and 95,328 is: 204,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,505 : 95,328 = 95,328 : x
  2. Step 2: Convert to fraction form
    44,505/95,328 = 95,328/x
  3. Step 3: Cross multiply
    44,505x = 95,328 × 95,328
  4. Step 4: Simplify right side
    44,505x = 9,087,427,584
  5. Step 5: Solve for x
    x = 9,087,427,584/44,505
  6. Step 6: Final answer
    x = 204,188.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.