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Finding the Third Proportional to 85,621.50 and 190,926

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Solution

The third proportional to 85,621.50 and 190,926 is: 425,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,621.50 : 190,926 = 190,926 : x
  2. Step 2: Convert to fraction form
    85,621.50/190,926 = 190,926/x
  3. Step 3: Cross multiply
    85,621.50x = 190,926 × 190,926
  4. Step 4: Simplify right side
    85,621.50x = 36,452,737,476
  5. Step 5: Solve for x
    x = 36,452,737,476/85,621.50
  6. Step 6: Final answer
    x = 425,742.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.