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Finding the Third Proportional to 122,161.50 and 265,203

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Solution

The third proportional to 122,161.50 and 265,203 is: 575,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,161.50 : 265,203 = 265,203 : x
  2. Step 2: Convert to fraction form
    122,161.50/265,203 = 265,203/x
  3. Step 3: Cross multiply
    122,161.50x = 265,203 × 265,203
  4. Step 4: Simplify right side
    122,161.50x = 70,332,631,209
  5. Step 5: Solve for x
    x = 70,332,631,209/122,161.50
  6. Step 6: Final answer
    x = 575,734.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.