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Finding the Third Proportional to 40,273 and 90,986

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Solution

The third proportional to 40,273 and 90,986 is: 205,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,273 : 90,986 = 90,986 : x
  2. Step 2: Convert to fraction form
    40,273/90,986 = 90,986/x
  3. Step 3: Cross multiply
    40,273x = 90,986 × 90,986
  4. Step 4: Simplify right side
    40,273x = 8,278,452,196
  5. Step 5: Solve for x
    x = 8,278,452,196/40,273
  6. Step 6: Final answer
    x = 205,558.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.