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Finding the Third Proportional to 113,668 and 165,318

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Solution

The third proportional to 113,668 and 165,318 is: 240,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,668 : 165,318 = 165,318 : x
  2. Step 2: Convert to fraction form
    113,668/165,318 = 165,318/x
  3. Step 3: Cross multiply
    113,668x = 165,318 × 165,318
  4. Step 4: Simplify right side
    113,668x = 27,330,041,124
  5. Step 5: Solve for x
    x = 27,330,041,124/113,668
  6. Step 6: Final answer
    x = 240,437.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.