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Finding the Third Proportional to 51,846 and 77,966

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Solution

The third proportional to 51,846 and 77,966 is: 117,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,846 : 77,966 = 77,966 : x
  2. Step 2: Convert to fraction form
    51,846/77,966 = 77,966/x
  3. Step 3: Cross multiply
    51,846x = 77,966 × 77,966
  4. Step 4: Simplify right side
    51,846x = 6,078,697,156
  5. Step 5: Solve for x
    x = 6,078,697,156/51,846
  6. Step 6: Final answer
    x = 117,245.25

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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.