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Finding the Third Proportional to 86,617 and 135,395

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Solution

The third proportional to 86,617 and 135,395 is: 211,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617 : 135,395 = 135,395 : x
  2. Step 2: Convert to fraction form
    86,617/135,395 = 135,395/x
  3. Step 3: Cross multiply
    86,617x = 135,395 × 135,395
  4. Step 4: Simplify right side
    86,617x = 18,331,806,025
  5. Step 5: Solve for x
    x = 18,331,806,025/86,617
  6. Step 6: Final answer
    x = 211,642.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.