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Finding the Third Proportional to 43,586.50 and 92,069

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Solution

The third proportional to 43,586.50 and 92,069 is: 194,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586.50 : 92,069 = 92,069 : x
  2. Step 2: Convert to fraction form
    43,586.50/92,069 = 92,069/x
  3. Step 3: Cross multiply
    43,586.50x = 92,069 × 92,069
  4. Step 4: Simplify right side
    43,586.50x = 8,476,700,761
  5. Step 5: Solve for x
    x = 8,476,700,761/43,586.50
  6. Step 6: Final answer
    x = 194,479.96

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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.