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Finding the Third Proportional to 86,583 and 189,045

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Solution

The third proportional to 86,583 and 189,045 is: 412,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583 : 189,045 = 189,045 : x
  2. Step 2: Convert to fraction form
    86,583/189,045 = 189,045/x
  3. Step 3: Cross multiply
    86,583x = 189,045 × 189,045
  4. Step 4: Simplify right side
    86,583x = 35,738,012,025
  5. Step 5: Solve for x
    x = 35,738,012,025/86,583
  6. Step 6: Final answer
    x = 412,760.15

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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.