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Finding the Third Proportional to 20,106 and 42,094

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Solution

The third proportional to 20,106 and 42,094 is: 88,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 42,094 = 42,094 : x
  2. Step 2: Convert to fraction form
    20,106/42,094 = 42,094/x
  3. Step 3: Cross multiply
    20,106x = 42,094 × 42,094
  4. Step 4: Simplify right side
    20,106x = 1,771,904,836
  5. Step 5: Solve for x
    x = 1,771,904,836/20,106
  6. Step 6: Final answer
    x = 88,128.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.