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Finding the Third Proportional to 103,985 and 165,293

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Solution

The third proportional to 103,985 and 165,293 is: 262,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,985 : 165,293 = 165,293 : x
  2. Step 2: Convert to fraction form
    103,985/165,293 = 165,293/x
  3. Step 3: Cross multiply
    103,985x = 165,293 × 165,293
  4. Step 4: Simplify right side
    103,985x = 27,321,775,849
  5. Step 5: Solve for x
    x = 27,321,775,849/103,985
  6. Step 6: Final answer
    x = 262,747.28

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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.