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Finding the Third Proportional to 70,409.25 and 144,099

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Solution

The third proportional to 70,409.25 and 144,099 is: 294,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.25 : 144,099 = 144,099 : x
  2. Step 2: Convert to fraction form
    70,409.25/144,099 = 144,099/x
  3. Step 3: Cross multiply
    70,409.25x = 144,099 × 144,099
  4. Step 4: Simplify right side
    70,409.25x = 20,764,521,801
  5. Step 5: Solve for x
    x = 20,764,521,801/70,409.25
  6. Step 6: Final answer
    x = 294,911.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.