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Finding the Third Proportional to 48,305 and 72,012

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Solution

The third proportional to 48,305 and 72,012 is: 107,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,305 : 72,012 = 72,012 : x
  2. Step 2: Convert to fraction form
    48,305/72,012 = 72,012/x
  3. Step 3: Cross multiply
    48,305x = 72,012 × 72,012
  4. Step 4: Simplify right side
    48,305x = 5,185,728,144
  5. Step 5: Solve for x
    x = 5,185,728,144/48,305
  6. Step 6: Final answer
    x = 107,353.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.