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Finding the Third Proportional to 110,306 and 165,014

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Solution

The third proportional to 110,306 and 165,014 is: 246,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,306 : 165,014 = 165,014 : x
  2. Step 2: Convert to fraction form
    110,306/165,014 = 165,014/x
  3. Step 3: Cross multiply
    110,306x = 165,014 × 165,014
  4. Step 4: Simplify right side
    110,306x = 27,229,620,196
  5. Step 5: Solve for x
    x = 27,229,620,196/110,306
  6. Step 6: Final answer
    x = 246,855.30

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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.