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Finding the Third Proportional to 103,669 and 165,038

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Solution

The third proportional to 103,669 and 165,038 is: 262,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 165,038 = 165,038 : x
  2. Step 2: Convert to fraction form
    103,669/165,038 = 165,038/x
  3. Step 3: Cross multiply
    103,669x = 165,038 × 165,038
  4. Step 4: Simplify right side
    103,669x = 27,237,541,444
  5. Step 5: Solve for x
    x = 27,237,541,444/103,669
  6. Step 6: Final answer
    x = 262,735.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.