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Finding the Third Proportional to 86,216 and 186,024

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Solution

The third proportional to 86,216 and 186,024 is: 401,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,216 : 186,024 = 186,024 : x
  2. Step 2: Convert to fraction form
    86,216/186,024 = 186,024/x
  3. Step 3: Cross multiply
    86,216x = 186,024 × 186,024
  4. Step 4: Simplify right side
    86,216x = 34,604,928,576
  5. Step 5: Solve for x
    x = 34,604,928,576/86,216
  6. Step 6: Final answer
    x = 401,374.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.