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Finding the Third Proportional to 43,500 and 92,697

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Solution

The third proportional to 43,500 and 92,697 is: 197,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,500 : 92,697 = 92,697 : x
  2. Step 2: Convert to fraction form
    43,500/92,697 = 92,697/x
  3. Step 3: Cross multiply
    43,500x = 92,697 × 92,697
  4. Step 4: Simplify right side
    43,500x = 8,592,733,809
  5. Step 5: Solve for x
    x = 8,592,733,809/43,500
  6. Step 6: Final answer
    x = 197,534.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.