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Finding the Third Proportional to 84,324 and 126,264

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Solution

The third proportional to 84,324 and 126,264 is: 189,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,324 : 126,264 = 126,264 : x
  2. Step 2: Convert to fraction form
    84,324/126,264 = 126,264/x
  3. Step 3: Cross multiply
    84,324x = 126,264 × 126,264
  4. Step 4: Simplify right side
    84,324x = 15,942,597,696
  5. Step 5: Solve for x
    x = 15,942,597,696/84,324
  6. Step 6: Final answer
    x = 189,063.58

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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.