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Finding the Third Proportional to 79,239 and 174,029

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Solution

The third proportional to 79,239 and 174,029 is: 382,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,239 : 174,029 = 174,029 : x
  2. Step 2: Convert to fraction form
    79,239/174,029 = 174,029/x
  3. Step 3: Cross multiply
    79,239x = 174,029 × 174,029
  4. Step 4: Simplify right side
    79,239x = 30,286,092,841
  5. Step 5: Solve for x
    x = 30,286,092,841/79,239
  6. Step 6: Final answer
    x = 382,211.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.