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Finding the Third Proportional to 71,733 and 146,379

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Solution

The third proportional to 71,733 and 146,379 is: 298,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,733 : 146,379 = 146,379 : x
  2. Step 2: Convert to fraction form
    71,733/146,379 = 146,379/x
  3. Step 3: Cross multiply
    71,733x = 146,379 × 146,379
  4. Step 4: Simplify right side
    71,733x = 21,426,811,641
  5. Step 5: Solve for x
    x = 21,426,811,641/71,733
  6. Step 6: Final answer
    x = 298,702.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.