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Finding the Third Proportional to 65,467 and 100,106

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Solution

The third proportional to 65,467 and 100,106 is: 153,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,467 : 100,106 = 100,106 : x
  2. Step 2: Convert to fraction form
    65,467/100,106 = 100,106/x
  3. Step 3: Cross multiply
    65,467x = 100,106 × 100,106
  4. Step 4: Simplify right side
    65,467x = 10,021,211,236
  5. Step 5: Solve for x
    x = 10,021,211,236/65,467
  6. Step 6: Final answer
    x = 153,072.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.