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Finding the Third Proportional to 68,654 and 160,394

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Solution

The third proportional to 68,654 and 160,394 is: 374,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,654 : 160,394 = 160,394 : x
  2. Step 2: Convert to fraction form
    68,654/160,394 = 160,394/x
  3. Step 3: Cross multiply
    68,654x = 160,394 × 160,394
  4. Step 4: Simplify right side
    68,654x = 25,726,235,236
  5. Step 5: Solve for x
    x = 25,726,235,236/68,654
  6. Step 6: Final answer
    x = 374,723.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.