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Finding the Third Proportional to 95,148 and 142,494

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Solution

The third proportional to 95,148 and 142,494 is: 213,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,148 : 142,494 = 142,494 : x
  2. Step 2: Convert to fraction form
    95,148/142,494 = 142,494/x
  3. Step 3: Cross multiply
    95,148x = 142,494 × 142,494
  4. Step 4: Simplify right side
    95,148x = 20,304,540,036
  5. Step 5: Solve for x
    x = 20,304,540,036/95,148
  6. Step 6: Final answer
    x = 213,399.55

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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.