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Finding the Third Proportional to 33,339 and 74,058

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Solution

The third proportional to 33,339 and 74,058 is: 164,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,339 : 74,058 = 74,058 : x
  2. Step 2: Convert to fraction form
    33,339/74,058 = 74,058/x
  3. Step 3: Cross multiply
    33,339x = 74,058 × 74,058
  4. Step 4: Simplify right side
    33,339x = 5,484,587,364
  5. Step 5: Solve for x
    x = 5,484,587,364/33,339
  6. Step 6: Final answer
    x = 164,509.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.