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Finding the Third Proportional to 79,442 and 174,058

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Solution

The third proportional to 79,442 and 174,058 is: 381,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,442 : 174,058 = 174,058 : x
  2. Step 2: Convert to fraction form
    79,442/174,058 = 174,058/x
  3. Step 3: Cross multiply
    79,442x = 174,058 × 174,058
  4. Step 4: Simplify right side
    79,442x = 30,296,187,364
  5. Step 5: Solve for x
    x = 30,296,187,364/79,442
  6. Step 6: Final answer
    x = 381,362.34

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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.