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Finding the Third Proportional to 113,424 and 136,631

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Solution

The third proportional to 113,424 and 136,631 is: 164,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,424 : 136,631 = 136,631 : x
  2. Step 2: Convert to fraction form
    113,424/136,631 = 136,631/x
  3. Step 3: Cross multiply
    113,424x = 136,631 × 136,631
  4. Step 4: Simplify right side
    113,424x = 18,668,030,161
  5. Step 5: Solve for x
    x = 18,668,030,161/113,424
  6. Step 6: Final answer
    x = 164,586.24

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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.