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Finding the Third Proportional to 86,584 and 186,116

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Solution

The third proportional to 86,584 and 186,116 is: 400,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584 : 186,116 = 186,116 : x
  2. Step 2: Convert to fraction form
    86,584/186,116 = 186,116/x
  3. Step 3: Cross multiply
    86,584x = 186,116 × 186,116
  4. Step 4: Simplify right side
    86,584x = 34,639,165,456
  5. Step 5: Solve for x
    x = 34,639,165,456/86,584
  6. Step 6: Final answer
    x = 400,064.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.