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Finding the Third Proportional to 72,631 and 100,017

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Solution

The third proportional to 72,631 and 100,017 is: 137,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,631 : 100,017 = 100,017 : x
  2. Step 2: Convert to fraction form
    72,631/100,017 = 100,017/x
  3. Step 3: Cross multiply
    72,631x = 100,017 × 100,017
  4. Step 4: Simplify right side
    72,631x = 10,003,400,289
  5. Step 5: Solve for x
    x = 10,003,400,289/72,631
  6. Step 6: Final answer
    x = 137,729.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.