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Finding the Third Proportional to 86,120 and 189,216

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Solution

The third proportional to 86,120 and 189,216 is: 415,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,120 : 189,216 = 189,216 : x
  2. Step 2: Convert to fraction form
    86,120/189,216 = 189,216/x
  3. Step 3: Cross multiply
    86,120x = 189,216 × 189,216
  4. Step 4: Simplify right side
    86,120x = 35,802,694,656
  5. Step 5: Solve for x
    x = 35,802,694,656/86,120
  6. Step 6: Final answer
    x = 415,730.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.