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Finding the Third Proportional to 94,424 and 141,856

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Solution

The third proportional to 94,424 and 141,856 is: 213,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,424 : 141,856 = 141,856 : x
  2. Step 2: Convert to fraction form
    94,424/141,856 = 141,856/x
  3. Step 3: Cross multiply
    94,424x = 141,856 × 141,856
  4. Step 4: Simplify right side
    94,424x = 20,123,124,736
  5. Step 5: Solve for x
    x = 20,123,124,736/94,424
  6. Step 6: Final answer
    x = 213,114.51

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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.