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Finding the Third Proportional to 85,396 and 186,104

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Solution

The third proportional to 85,396 and 186,104 is: 405,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,396 : 186,104 = 186,104 : x
  2. Step 2: Convert to fraction form
    85,396/186,104 = 186,104/x
  3. Step 3: Cross multiply
    85,396x = 186,104 × 186,104
  4. Step 4: Simplify right side
    85,396x = 34,634,698,816
  5. Step 5: Solve for x
    x = 34,634,698,816/85,396
  6. Step 6: Final answer
    x = 405,577.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.