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Finding the Third Proportional to 49,351.50 and 112,990.50

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Solution

The third proportional to 49,351.50 and 112,990.50 is: 258,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,351.50 : 112,990.50 = 112,990.50 : x
  2. Step 2: Convert to fraction form
    49,351.50/112,990.50 = 112,990.50/x
  3. Step 3: Cross multiply
    49,351.50x = 112,990.50 × 112,990.50
  4. Step 4: Simplify right side
    49,351.50x = 12,766,853,090.25
  5. Step 5: Solve for x
    x = 12,766,853,090.25/49,351.50
  6. Step 6: Final answer
    x = 258,692.30

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.