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Finding the Third Proportional to 103,986 and 165,294

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Solution

The third proportional to 103,986 and 165,294 is: 262,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986 : 165,294 = 165,294 : x
  2. Step 2: Convert to fraction form
    103,986/165,294 = 165,294/x
  3. Step 3: Cross multiply
    103,986x = 165,294 × 165,294
  4. Step 4: Simplify right side
    103,986x = 27,322,106,436
  5. Step 5: Solve for x
    x = 27,322,106,436/103,986
  6. Step 6: Final answer
    x = 262,747.93

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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.