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Finding the Third Proportional to 113,422 and 136,629

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Solution

The third proportional to 113,422 and 136,629 is: 164,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,422 : 136,629 = 136,629 : x
  2. Step 2: Convert to fraction form
    113,422/136,629 = 136,629/x
  3. Step 3: Cross multiply
    113,422x = 136,629 × 136,629
  4. Step 4: Simplify right side
    113,422x = 18,667,483,641
  5. Step 5: Solve for x
    x = 18,667,483,641/113,422
  6. Step 6: Final answer
    x = 164,584.33

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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.