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Finding the Third Proportional to 51,775 and 79,554

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Solution

The third proportional to 51,775 and 79,554 is: 122,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,775 : 79,554 = 79,554 : x
  2. Step 2: Convert to fraction form
    51,775/79,554 = 79,554/x
  3. Step 3: Cross multiply
    51,775x = 79,554 × 79,554
  4. Step 4: Simplify right side
    51,775x = 6,328,838,916
  5. Step 5: Solve for x
    x = 6,328,838,916/51,775
  6. Step 6: Final answer
    x = 122,237.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.