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Finding the Third Proportional to 79,440 and 174,054

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Solution

The third proportional to 79,440 and 174,054 is: 381,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,440 : 174,054 = 174,054 : x
  2. Step 2: Convert to fraction form
    79,440/174,054 = 174,054/x
  3. Step 3: Cross multiply
    79,440x = 174,054 × 174,054
  4. Step 4: Simplify right side
    79,440x = 30,294,794,916
  5. Step 5: Solve for x
    x = 30,294,794,916/79,440
  6. Step 6: Final answer
    x = 381,354.42

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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.