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Finding the Third Proportional to 86,654.25 and 186,201

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Solution

The third proportional to 86,654.25 and 186,201 is: 400,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,654.25 : 186,201 = 186,201 : x
  2. Step 2: Convert to fraction form
    86,654.25/186,201 = 186,201/x
  3. Step 3: Cross multiply
    86,654.25x = 186,201 × 186,201
  4. Step 4: Simplify right side
    86,654.25x = 34,670,812,401
  5. Step 5: Solve for x
    x = 34,670,812,401/86,654.25
  6. Step 6: Final answer
    x = 400,105.16

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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.