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Finding the Third Proportional to 126,353 and 189,334

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Solution

The third proportional to 126,353 and 189,334 is: 283,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,353 : 189,334 = 189,334 : x
  2. Step 2: Convert to fraction form
    126,353/189,334 = 189,334/x
  3. Step 3: Cross multiply
    126,353x = 189,334 × 189,334
  4. Step 4: Simplify right side
    126,353x = 35,847,363,556
  5. Step 5: Solve for x
    x = 35,847,363,556/126,353
  6. Step 6: Final answer
    x = 283,708.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.