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Finding the Third Proportional to 88,034 and 190,094

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Solution

The third proportional to 88,034 and 190,094 is: 410,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,034 : 190,094 = 190,094 : x
  2. Step 2: Convert to fraction form
    88,034/190,094 = 190,094/x
  3. Step 3: Cross multiply
    88,034x = 190,094 × 190,094
  4. Step 4: Simplify right side
    88,034x = 36,135,728,836
  5. Step 5: Solve for x
    x = 36,135,728,836/88,034
  6. Step 6: Final answer
    x = 410,474.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.