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Finding the Third Proportional to 95,032 and 142,912

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Solution

The third proportional to 95,032 and 142,912 is: 214,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,032 : 142,912 = 142,912 : x
  2. Step 2: Convert to fraction form
    95,032/142,912 = 142,912/x
  3. Step 3: Cross multiply
    95,032x = 142,912 × 142,912
  4. Step 4: Simplify right side
    95,032x = 20,423,839,744
  5. Step 5: Solve for x
    x = 20,423,839,744/95,032
  6. Step 6: Final answer
    x = 214,915.39

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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.