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Finding the Third Proportional to 34,158 and 51,928

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Solution

The third proportional to 34,158 and 51,928 is: 78,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158 : 51,928 = 51,928 : x
  2. Step 2: Convert to fraction form
    34,158/51,928 = 51,928/x
  3. Step 3: Cross multiply
    34,158x = 51,928 × 51,928
  4. Step 4: Simplify right side
    34,158x = 2,696,517,184
  5. Step 5: Solve for x
    x = 2,696,517,184/34,158
  6. Step 6: Final answer
    x = 78,942.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.