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Finding the Third Proportional to 73,774 and 160,058

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Solution

The third proportional to 73,774 and 160,058 is: 347,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,774 : 160,058 = 160,058 : x
  2. Step 2: Convert to fraction form
    73,774/160,058 = 160,058/x
  3. Step 3: Cross multiply
    73,774x = 160,058 × 160,058
  4. Step 4: Simplify right side
    73,774x = 25,618,563,364
  5. Step 5: Solve for x
    x = 25,618,563,364/73,774
  6. Step 6: Final answer
    x = 347,257.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.