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Finding the Third Proportional to 135,321 and 189,186

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Solution

The third proportional to 135,321 and 189,186 is: 264,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,321 : 189,186 = 189,186 : x
  2. Step 2: Convert to fraction form
    135,321/189,186 = 189,186/x
  3. Step 3: Cross multiply
    135,321x = 189,186 × 189,186
  4. Step 4: Simplify right side
    135,321x = 35,791,342,596
  5. Step 5: Solve for x
    x = 35,791,342,596/135,321
  6. Step 6: Final answer
    x = 264,492.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.