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Finding the Third Proportional to 51,295 and 77,626

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Solution

The third proportional to 51,295 and 77,626 is: 117,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,295 : 77,626 = 77,626 : x
  2. Step 2: Convert to fraction form
    51,295/77,626 = 77,626/x
  3. Step 3: Cross multiply
    51,295x = 77,626 × 77,626
  4. Step 4: Simplify right side
    51,295x = 6,025,795,876
  5. Step 5: Solve for x
    x = 6,025,795,876/51,295
  6. Step 6: Final answer
    x = 117,473.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.