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Finding the Third Proportional to 41,078 and 86,301

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Solution

The third proportional to 41,078 and 86,301 is: 181,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078 : 86,301 = 86,301 : x
  2. Step 2: Convert to fraction form
    41,078/86,301 = 86,301/x
  3. Step 3: Cross multiply
    41,078x = 86,301 × 86,301
  4. Step 4: Simplify right side
    41,078x = 7,447,862,601
  5. Step 5: Solve for x
    x = 7,447,862,601/41,078
  6. Step 6: Final answer
    x = 181,310.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.