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Finding the Third Proportional to 43,751 and 90,418

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Solution

The third proportional to 43,751 and 90,418 is: 186,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,751 : 90,418 = 90,418 : x
  2. Step 2: Convert to fraction form
    43,751/90,418 = 90,418/x
  3. Step 3: Cross multiply
    43,751x = 90,418 × 90,418
  4. Step 4: Simplify right side
    43,751x = 8,175,414,724
  5. Step 5: Solve for x
    x = 8,175,414,724/43,751
  6. Step 6: Final answer
    x = 186,862.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.