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Finding the Third Proportional to 79,668 and 174,102

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Solution

The third proportional to 79,668 and 174,102 is: 380,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,668 : 174,102 = 174,102 : x
  2. Step 2: Convert to fraction form
    79,668/174,102 = 174,102/x
  3. Step 3: Cross multiply
    79,668x = 174,102 × 174,102
  4. Step 4: Simplify right side
    79,668x = 30,311,506,404
  5. Step 5: Solve for x
    x = 30,311,506,404/79,668
  6. Step 6: Final answer
    x = 380,472.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.