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Finding the Third Proportional to 41,454 and 88,824

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Solution

The third proportional to 41,454 and 88,824 is: 190,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454 : 88,824 = 88,824 : x
  2. Step 2: Convert to fraction form
    41,454/88,824 = 88,824/x
  3. Step 3: Cross multiply
    41,454x = 88,824 × 88,824
  4. Step 4: Simplify right side
    41,454x = 7,889,702,976
  5. Step 5: Solve for x
    x = 7,889,702,976/41,454
  6. Step 6: Final answer
    x = 190,324.29

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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.