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Finding the Third Proportional to 40,100 and 61,094

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Solution

The third proportional to 40,100 and 61,094 is: 93,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,100 : 61,094 = 61,094 : x
  2. Step 2: Convert to fraction form
    40,100/61,094 = 61,094/x
  3. Step 3: Cross multiply
    40,100x = 61,094 × 61,094
  4. Step 4: Simplify right side
    40,100x = 3,732,476,836
  5. Step 5: Solve for x
    x = 3,732,476,836/40,100
  6. Step 6: Final answer
    x = 93,079.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.