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Finding the Third Proportional to 51,945 and 77,916

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Solution

The third proportional to 51,945 and 77,916 is: 116,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,945 : 77,916 = 77,916 : x
  2. Step 2: Convert to fraction form
    51,945/77,916 = 77,916/x
  3. Step 3: Cross multiply
    51,945x = 77,916 × 77,916
  4. Step 4: Simplify right side
    51,945x = 6,070,903,056
  5. Step 5: Solve for x
    x = 6,070,903,056/51,945
  6. Step 6: Final answer
    x = 116,871.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.