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Finding the Third Proportional to 81,636 and 126,094

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Solution

The third proportional to 81,636 and 126,094 is: 194,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,636 : 126,094 = 126,094 : x
  2. Step 2: Convert to fraction form
    81,636/126,094 = 126,094/x
  3. Step 3: Cross multiply
    81,636x = 126,094 × 126,094
  4. Step 4: Simplify right side
    81,636x = 15,899,696,836
  5. Step 5: Solve for x
    x = 15,899,696,836/81,636
  6. Step 6: Final answer
    x = 194,763.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.