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Finding the Third Proportional to 50,852 and 78,738

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Solution

The third proportional to 50,852 and 78,738 is: 121,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,852 : 78,738 = 78,738 : x
  2. Step 2: Convert to fraction form
    50,852/78,738 = 78,738/x
  3. Step 3: Cross multiply
    50,852x = 78,738 × 78,738
  4. Step 4: Simplify right side
    50,852x = 6,199,672,644
  5. Step 5: Solve for x
    x = 6,199,672,644/50,852
  6. Step 6: Final answer
    x = 121,916.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.