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Finding the Third Proportional to 86,256 and 115,926

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Solution

The third proportional to 86,256 and 115,926 is: 155,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,256 : 115,926 = 115,926 : x
  2. Step 2: Convert to fraction form
    86,256/115,926 = 115,926/x
  3. Step 3: Cross multiply
    86,256x = 115,926 × 115,926
  4. Step 4: Simplify right side
    86,256x = 13,438,837,476
  5. Step 5: Solve for x
    x = 13,438,837,476/86,256
  6. Step 6: Final answer
    x = 155,801.77

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.