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Finding the Third Proportional to 45,868.50 and 92,969

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Solution

The third proportional to 45,868.50 and 92,969 is: 188,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,868.50 : 92,969 = 92,969 : x
  2. Step 2: Convert to fraction form
    45,868.50/92,969 = 92,969/x
  3. Step 3: Cross multiply
    45,868.50x = 92,969 × 92,969
  4. Step 4: Simplify right side
    45,868.50x = 8,643,234,961
  5. Step 5: Solve for x
    x = 8,643,234,961/45,868.50
  6. Step 6: Final answer
    x = 188,435.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.