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Finding the Third Proportional to 94,648 and 133,242

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Solution

The third proportional to 94,648 and 133,242 is: 187,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,648 : 133,242 = 133,242 : x
  2. Step 2: Convert to fraction form
    94,648/133,242 = 133,242/x
  3. Step 3: Cross multiply
    94,648x = 133,242 × 133,242
  4. Step 4: Simplify right side
    94,648x = 17,753,430,564
  5. Step 5: Solve for x
    x = 17,753,430,564/94,648
  6. Step 6: Final answer
    x = 187,573.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.