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Finding the Third Proportional to 159,012 and 215,926

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Solution

The third proportional to 159,012 and 215,926 is: 293,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,012 : 215,926 = 215,926 : x
  2. Step 2: Convert to fraction form
    159,012/215,926 = 215,926/x
  3. Step 3: Cross multiply
    159,012x = 215,926 × 215,926
  4. Step 4: Simplify right side
    159,012x = 46,624,037,476
  5. Step 5: Solve for x
    x = 46,624,037,476/159,012
  6. Step 6: Final answer
    x = 293,210.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.