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Finding the Third Proportional to 48,523.50 and 101,664

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Solution

The third proportional to 48,523.50 and 101,664 is: 213,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,523.50 : 101,664 = 101,664 : x
  2. Step 2: Convert to fraction form
    48,523.50/101,664 = 101,664/x
  3. Step 3: Cross multiply
    48,523.50x = 101,664 × 101,664
  4. Step 4: Simplify right side
    48,523.50x = 10,335,568,896
  5. Step 5: Solve for x
    x = 10,335,568,896/48,523.50
  6. Step 6: Final answer
    x = 213,001.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.