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Finding the Third Proportional to 94,339 and 140,225

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Solution

The third proportional to 94,339 and 140,225 is: 208,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,339 : 140,225 = 140,225 : x
  2. Step 2: Convert to fraction form
    94,339/140,225 = 140,225/x
  3. Step 3: Cross multiply
    94,339x = 140,225 × 140,225
  4. Step 4: Simplify right side
    94,339x = 19,663,050,625
  5. Step 5: Solve for x
    x = 19,663,050,625/94,339
  6. Step 6: Final answer
    x = 208,429.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.