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Finding the Third Proportional to 84,339 and 126,252

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Solution

The third proportional to 84,339 and 126,252 is: 188,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,339 : 126,252 = 126,252 : x
  2. Step 2: Convert to fraction form
    84,339/126,252 = 126,252/x
  3. Step 3: Cross multiply
    84,339x = 126,252 × 126,252
  4. Step 4: Simplify right side
    84,339x = 15,939,567,504
  5. Step 5: Solve for x
    x = 15,939,567,504/84,339
  6. Step 6: Final answer
    x = 188,994.03

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Why These Related Problems?

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