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Finding the Third Proportional to 43,080 and 92,400

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Solution

The third proportional to 43,080 and 92,400 is: 198,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,080 : 92,400 = 92,400 : x
  2. Step 2: Convert to fraction form
    43,080/92,400 = 92,400/x
  3. Step 3: Cross multiply
    43,080x = 92,400 × 92,400
  4. Step 4: Simplify right side
    43,080x = 8,537,760,000
  5. Step 5: Solve for x
    x = 8,537,760,000/43,080
  6. Step 6: Final answer
    x = 198,183.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.