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Finding the Third Proportional to 95,890.50 and 145,165.50

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Solution

The third proportional to 95,890.50 and 145,165.50 is: 219,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,890.50 : 145,165.50 = 145,165.50 : x
  2. Step 2: Convert to fraction form
    95,890.50/145,165.50 = 145,165.50/x
  3. Step 3: Cross multiply
    95,890.50x = 145,165.50 × 145,165.50
  4. Step 4: Simplify right side
    95,890.50x = 21,073,022,390.25
  5. Step 5: Solve for x
    x = 21,073,022,390.25/95,890.50
  6. Step 6: Final answer
    x = 219,761.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.