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Finding the Third Proportional to 94,343 and 141,500

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Solution

The third proportional to 94,343 and 141,500 is: 212,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,343 : 141,500 = 141,500 : x
  2. Step 2: Convert to fraction form
    94,343/141,500 = 141,500/x
  3. Step 3: Cross multiply
    94,343x = 141,500 × 141,500
  4. Step 4: Simplify right side
    94,343x = 20,022,250,000
  5. Step 5: Solve for x
    x = 20,022,250,000/94,343
  6. Step 6: Final answer
    x = 212,228.25

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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.