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Finding the Third Proportional to 110,466 and 165,699

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Solution

The third proportional to 110,466 and 165,699 is: 248,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,466 : 165,699 = 165,699 : x
  2. Step 2: Convert to fraction form
    110,466/165,699 = 165,699/x
  3. Step 3: Cross multiply
    110,466x = 165,699 × 165,699
  4. Step 4: Simplify right side
    110,466x = 27,456,158,601
  5. Step 5: Solve for x
    x = 27,456,158,601/110,466
  6. Step 6: Final answer
    x = 248,548.50

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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.