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Finding the Third Proportional to 110,319 and 165,447

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Solution

The third proportional to 110,319 and 165,447 is: 248,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,319 : 165,447 = 165,447 : x
  2. Step 2: Convert to fraction form
    110,319/165,447 = 165,447/x
  3. Step 3: Cross multiply
    110,319x = 165,447 × 165,447
  4. Step 4: Simplify right side
    110,319x = 27,372,709,809
  5. Step 5: Solve for x
    x = 27,372,709,809/110,319
  6. Step 6: Final answer
    x = 248,123.26

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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.