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Finding the Third Proportional to 121,293 and 255,150

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Solution

The third proportional to 121,293 and 255,150 is: 536,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,293 : 255,150 = 255,150 : x
  2. Step 2: Convert to fraction form
    121,293/255,150 = 255,150/x
  3. Step 3: Cross multiply
    121,293x = 255,150 × 255,150
  4. Step 4: Simplify right side
    121,293x = 65,101,522,500
  5. Step 5: Solve for x
    x = 65,101,522,500/121,293
  6. Step 6: Final answer
    x = 536,729.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.