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Finding the Third Proportional to 110,558 and 165,951

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Solution

The third proportional to 110,558 and 165,951 is: 249,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,558 : 165,951 = 165,951 : x
  2. Step 2: Convert to fraction form
    110,558/165,951 = 165,951/x
  3. Step 3: Cross multiply
    110,558x = 165,951 × 165,951
  4. Step 4: Simplify right side
    110,558x = 27,539,734,401
  5. Step 5: Solve for x
    x = 27,539,734,401/110,558
  6. Step 6: Final answer
    x = 249,097.62

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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.