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Finding the Third Proportional to 103,655 and 165,017

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Solution

The third proportional to 103,655 and 165,017 is: 262,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655 : 165,017 = 165,017 : x
  2. Step 2: Convert to fraction form
    103,655/165,017 = 165,017/x
  3. Step 3: Cross multiply
    103,655x = 165,017 × 165,017
  4. Step 4: Simplify right side
    103,655x = 27,230,610,289
  5. Step 5: Solve for x
    x = 27,230,610,289/103,655
  6. Step 6: Final answer
    x = 262,704.26

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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.