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Finding the Third Proportional to 42,334 and 90,500

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Solution

The third proportional to 42,334 and 90,500 is: 193,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,334 : 90,500 = 90,500 : x
  2. Step 2: Convert to fraction form
    42,334/90,500 = 90,500/x
  3. Step 3: Cross multiply
    42,334x = 90,500 × 90,500
  4. Step 4: Simplify right side
    42,334x = 8,190,250,000
  5. Step 5: Solve for x
    x = 8,190,250,000/42,334
  6. Step 6: Final answer
    x = 193,467.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.