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Finding the Third Proportional to 110,226 and 165,030

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Solution

The third proportional to 110,226 and 165,030 is: 247,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,226 : 165,030 = 165,030 : x
  2. Step 2: Convert to fraction form
    110,226/165,030 = 165,030/x
  3. Step 3: Cross multiply
    110,226x = 165,030 × 165,030
  4. Step 4: Simplify right side
    110,226x = 27,234,900,900
  5. Step 5: Solve for x
    x = 27,234,900,900/110,226
  6. Step 6: Final answer
    x = 247,082.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.