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Finding the Third Proportional to 39,094 and 85,592

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Solution

The third proportional to 39,094 and 85,592 is: 187,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,094 : 85,592 = 85,592 : x
  2. Step 2: Convert to fraction form
    39,094/85,592 = 85,592/x
  3. Step 3: Cross multiply
    39,094x = 85,592 × 85,592
  4. Step 4: Simplify right side
    39,094x = 7,325,990,464
  5. Step 5: Solve for x
    x = 7,325,990,464/39,094
  6. Step 6: Final answer
    x = 187,394.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.