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Finding the Third Proportional to 103,984 and 165,291

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Solution

The third proportional to 103,984 and 165,291 is: 262,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 165,291 = 165,291 : x
  2. Step 2: Convert to fraction form
    103,984/165,291 = 165,291/x
  3. Step 3: Cross multiply
    103,984x = 165,291 × 165,291
  4. Step 4: Simplify right side
    103,984x = 27,321,114,681
  5. Step 5: Solve for x
    x = 27,321,114,681/103,984
  6. Step 6: Final answer
    x = 262,743.45

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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.