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Finding the Third Proportional to 113,969 and 136,933

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Solution

The third proportional to 113,969 and 136,933 is: 164,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,969 : 136,933 = 136,933 : x
  2. Step 2: Convert to fraction form
    113,969/136,933 = 136,933/x
  3. Step 3: Cross multiply
    113,969x = 136,933 × 136,933
  4. Step 4: Simplify right side
    113,969x = 18,750,646,489
  5. Step 5: Solve for x
    x = 18,750,646,489/113,969
  6. Step 6: Final answer
    x = 164,524.09

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.