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Finding the Third Proportional to 79,576 and 107,692

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Solution

The third proportional to 79,576 and 107,692 is: 145,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,576 : 107,692 = 107,692 : x
  2. Step 2: Convert to fraction form
    79,576/107,692 = 107,692/x
  3. Step 3: Cross multiply
    79,576x = 107,692 × 107,692
  4. Step 4: Simplify right side
    79,576x = 11,597,566,864
  5. Step 5: Solve for x
    x = 11,597,566,864/79,576
  6. Step 6: Final answer
    x = 145,742.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.