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Finding the Third Proportional to 86,026 and 183,716

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Solution

The third proportional to 86,026 and 183,716 is: 392,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,026 : 183,716 = 183,716 : x
  2. Step 2: Convert to fraction form
    86,026/183,716 = 183,716/x
  3. Step 3: Cross multiply
    86,026x = 183,716 × 183,716
  4. Step 4: Simplify right side
    86,026x = 33,751,568,656
  5. Step 5: Solve for x
    x = 33,751,568,656/86,026
  6. Step 6: Final answer
    x = 392,341.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.