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Finding the Third Proportional to 73,979 and 159,782.50

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Solution

The third proportional to 73,979 and 159,782.50 is: 345,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,979 : 159,782.50 = 159,782.50 : x
  2. Step 2: Convert to fraction form
    73,979/159,782.50 = 159,782.50/x
  3. Step 3: Cross multiply
    73,979x = 159,782.50 × 159,782.50
  4. Step 4: Simplify right side
    73,979x = 25,530,447,306.25
  5. Step 5: Solve for x
    x = 25,530,447,306.25/73,979
  6. Step 6: Final answer
    x = 345,103.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.