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Finding the Third Proportional to 52,328 and 78,956

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Solution

The third proportional to 52,328 and 78,956 is: 119,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,328 : 78,956 = 78,956 : x
  2. Step 2: Convert to fraction form
    52,328/78,956 = 78,956/x
  3. Step 3: Cross multiply
    52,328x = 78,956 × 78,956
  4. Step 4: Simplify right side
    52,328x = 6,234,049,936
  5. Step 5: Solve for x
    x = 6,234,049,936/52,328
  6. Step 6: Final answer
    x = 119,134.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.