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Finding the Third Proportional to 110,103 and 165,402

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Solution

The third proportional to 110,103 and 165,402 is: 248,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,103 : 165,402 = 165,402 : x
  2. Step 2: Convert to fraction form
    110,103/165,402 = 165,402/x
  3. Step 3: Cross multiply
    110,103x = 165,402 × 165,402
  4. Step 4: Simplify right side
    110,103x = 27,357,821,604
  5. Step 5: Solve for x
    x = 27,357,821,604/110,103
  6. Step 6: Final answer
    x = 248,474.81

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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.