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Finding the Third Proportional to 41,604 and 90,606

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Solution

The third proportional to 41,604 and 90,606 is: 197,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,604 : 90,606 = 90,606 : x
  2. Step 2: Convert to fraction form
    41,604/90,606 = 90,606/x
  3. Step 3: Cross multiply
    41,604x = 90,606 × 90,606
  4. Step 4: Simplify right side
    41,604x = 8,209,447,236
  5. Step 5: Solve for x
    x = 8,209,447,236/41,604
  6. Step 6: Final answer
    x = 197,323.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.