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Finding the Third Proportional to 96,139 and 203,360

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Solution

The third proportional to 96,139 and 203,360 is: 430,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139 : 203,360 = 203,360 : x
  2. Step 2: Convert to fraction form
    96,139/203,360 = 203,360/x
  3. Step 3: Cross multiply
    96,139x = 203,360 × 203,360
  4. Step 4: Simplify right side
    96,139x = 41,355,289,600
  5. Step 5: Solve for x
    x = 41,355,289,600/96,139
  6. Step 6: Final answer
    x = 430,161.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.