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Finding the Third Proportional to 41,206 and 79,130

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Solution

The third proportional to 41,206 and 79,130 is: 151,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206 : 79,130 = 79,130 : x
  2. Step 2: Convert to fraction form
    41,206/79,130 = 79,130/x
  3. Step 3: Cross multiply
    41,206x = 79,130 × 79,130
  4. Step 4: Simplify right side
    41,206x = 6,261,556,900
  5. Step 5: Solve for x
    x = 6,261,556,900/41,206
  6. Step 6: Final answer
    x = 151,957.41

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.