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Finding the Third Proportional to 95,830.50 and 143,974.50

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Solution

The third proportional to 95,830.50 and 143,974.50 is: 216,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830.50 : 143,974.50 = 143,974.50 : x
  2. Step 2: Convert to fraction form
    95,830.50/143,974.50 = 143,974.50/x
  3. Step 3: Cross multiply
    95,830.50x = 143,974.50 × 143,974.50
  4. Step 4: Simplify right side
    95,830.50x = 20,728,656,650.25
  5. Step 5: Solve for x
    x = 20,728,656,650.25/95,830.50
  6. Step 6: Final answer
    x = 216,305.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.