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Finding the Third Proportional to 104,654 and 168,483

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Solution

The third proportional to 104,654 and 168,483 is: 271,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,654 : 168,483 = 168,483 : x
  2. Step 2: Convert to fraction form
    104,654/168,483 = 168,483/x
  3. Step 3: Cross multiply
    104,654x = 168,483 × 168,483
  4. Step 4: Simplify right side
    104,654x = 28,386,521,289
  5. Step 5: Solve for x
    x = 28,386,521,289/104,654
  6. Step 6: Final answer
    x = 271,241.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.