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Finding the Third Proportional to 135,984 and 210,036

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Solution

The third proportional to 135,984 and 210,036 is: 324,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,984 : 210,036 = 210,036 : x
  2. Step 2: Convert to fraction form
    135,984/210,036 = 210,036/x
  3. Step 3: Cross multiply
    135,984x = 210,036 × 210,036
  4. Step 4: Simplify right side
    135,984x = 44,115,121,296
  5. Step 5: Solve for x
    x = 44,115,121,296/135,984
  6. Step 6: Final answer
    x = 324,414.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.