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Finding the Third Proportional to 63,995.50 and 142,195

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Solution

The third proportional to 63,995.50 and 142,195 is: 315,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,995.50 : 142,195 = 142,195 : x
  2. Step 2: Convert to fraction form
    63,995.50/142,195 = 142,195/x
  3. Step 3: Cross multiply
    63,995.50x = 142,195 × 142,195
  4. Step 4: Simplify right side
    63,995.50x = 20,219,418,025
  5. Step 5: Solve for x
    x = 20,219,418,025/63,995.50
  6. Step 6: Final answer
    x = 315,950.62

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.