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Finding the Third Proportional to 100,034.50 and 214,763

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Solution

The third proportional to 100,034.50 and 214,763 is: 461,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034.50 : 214,763 = 214,763 : x
  2. Step 2: Convert to fraction form
    100,034.50/214,763 = 214,763/x
  3. Step 3: Cross multiply
    100,034.50x = 214,763 × 214,763
  4. Step 4: Simplify right side
    100,034.50x = 46,123,146,169
  5. Step 5: Solve for x
    x = 46,123,146,169/100,034.50
  6. Step 6: Final answer
    x = 461,072.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.