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Finding the Third Proportional to 79,306 and 113,990

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Solution

The third proportional to 79,306 and 113,990 is: 163,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,306 : 113,990 = 113,990 : x
  2. Step 2: Convert to fraction form
    79,306/113,990 = 113,990/x
  3. Step 3: Cross multiply
    79,306x = 113,990 × 113,990
  4. Step 4: Simplify right side
    79,306x = 12,993,720,100
  5. Step 5: Solve for x
    x = 12,993,720,100/79,306
  6. Step 6: Final answer
    x = 163,842.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.