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Finding the Third Proportional to 121,604 and 182,795

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Solution

The third proportional to 121,604 and 182,795 is: 274,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,604 : 182,795 = 182,795 : x
  2. Step 2: Convert to fraction form
    121,604/182,795 = 182,795/x
  3. Step 3: Cross multiply
    121,604x = 182,795 × 182,795
  4. Step 4: Simplify right side
    121,604x = 33,414,012,025
  5. Step 5: Solve for x
    x = 33,414,012,025/121,604
  6. Step 6: Final answer
    x = 274,777.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.