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Finding the Third Proportional to 51,318 and 78,826

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Solution

The third proportional to 51,318 and 78,826 is: 121,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318 : 78,826 = 78,826 : x
  2. Step 2: Convert to fraction form
    51,318/78,826 = 78,826/x
  3. Step 3: Cross multiply
    51,318x = 78,826 × 78,826
  4. Step 4: Simplify right side
    51,318x = 6,213,538,276
  5. Step 5: Solve for x
    x = 6,213,538,276/51,318
  6. Step 6: Final answer
    x = 121,079.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.