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Finding the Third Proportional to 39,266 and 85,096

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Solution

The third proportional to 39,266 and 85,096 is: 184,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,266 : 85,096 = 85,096 : x
  2. Step 2: Convert to fraction form
    39,266/85,096 = 85,096/x
  3. Step 3: Cross multiply
    39,266x = 85,096 × 85,096
  4. Step 4: Simplify right side
    39,266x = 7,241,329,216
  5. Step 5: Solve for x
    x = 7,241,329,216/39,266
  6. Step 6: Final answer
    x = 184,417.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.