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Finding the Third Proportional to 102,504 and 210,112

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Solution

The third proportional to 102,504 and 210,112 is: 430,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504 : 210,112 = 210,112 : x
  2. Step 2: Convert to fraction form
    102,504/210,112 = 210,112/x
  3. Step 3: Cross multiply
    102,504x = 210,112 × 210,112
  4. Step 4: Simplify right side
    102,504x = 44,147,052,544
  5. Step 5: Solve for x
    x = 44,147,052,544/102,504
  6. Step 6: Final answer
    x = 430,686.14

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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.