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Finding the Third Proportional to 129,284 and 189,672

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Solution

The third proportional to 129,284 and 189,672 is: 278,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,284 : 189,672 = 189,672 : x
  2. Step 2: Convert to fraction form
    129,284/189,672 = 189,672/x
  3. Step 3: Cross multiply
    129,284x = 189,672 × 189,672
  4. Step 4: Simplify right side
    129,284x = 35,975,467,584
  5. Step 5: Solve for x
    x = 35,975,467,584/129,284
  6. Step 6: Final answer
    x = 278,266.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.