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Finding the Third Proportional to 43,598 and 92,090

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Solution

The third proportional to 43,598 and 92,090 is: 194,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,598 : 92,090 = 92,090 : x
  2. Step 2: Convert to fraction form
    43,598/92,090 = 92,090/x
  3. Step 3: Cross multiply
    43,598x = 92,090 × 92,090
  4. Step 4: Simplify right side
    43,598x = 8,480,568,100
  5. Step 5: Solve for x
    x = 8,480,568,100/43,598
  6. Step 6: Final answer
    x = 194,517.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.