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Finding the Third Proportional to 86,271.75 and 187,724.25

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Solution

The third proportional to 86,271.75 and 187,724.25 is: 408,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,271.75 : 187,724.25 = 187,724.25 : x
  2. Step 2: Convert to fraction form
    86,271.75/187,724.25 = 187,724.25/x
  3. Step 3: Cross multiply
    86,271.75x = 187,724.25 × 187,724.25
  4. Step 4: Simplify right side
    86,271.75x = 35,240,394,038.06
  5. Step 5: Solve for x
    x = 35,240,394,038.06/86,271.75
  6. Step 6: Final answer
    x = 408,481.27

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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.