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Finding the Third Proportional to 41,604 and 90,984

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Solution

The third proportional to 41,604 and 90,984 is: 198,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,604 : 90,984 = 90,984 : x
  2. Step 2: Convert to fraction form
    41,604/90,984 = 90,984/x
  3. Step 3: Cross multiply
    41,604x = 90,984 × 90,984
  4. Step 4: Simplify right side
    41,604x = 8,278,088,256
  5. Step 5: Solve for x
    x = 8,278,088,256/41,604
  6. Step 6: Final answer
    x = 198,973.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.