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Finding the Third Proportional to 51,951 and 77,925

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Solution

The third proportional to 51,951 and 77,925 is: 116,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951 : 77,925 = 77,925 : x
  2. Step 2: Convert to fraction form
    51,951/77,925 = 77,925/x
  3. Step 3: Cross multiply
    51,951x = 77,925 × 77,925
  4. Step 4: Simplify right side
    51,951x = 6,072,305,625
  5. Step 5: Solve for x
    x = 6,072,305,625/51,951
  6. Step 6: Final answer
    x = 116,885.25

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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.