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Finding the Third Proportional to 109,120 and 234,926

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Solution

The third proportional to 109,120 and 234,926 is: 505,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,120 : 234,926 = 234,926 : x
  2. Step 2: Convert to fraction form
    109,120/234,926 = 234,926/x
  3. Step 3: Cross multiply
    109,120x = 234,926 × 234,926
  4. Step 4: Simplify right side
    109,120x = 55,190,225,476
  5. Step 5: Solve for x
    x = 55,190,225,476/109,120
  6. Step 6: Final answer
    x = 505,775.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.