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Finding the Third Proportional to 60,995 and 129,766

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Solution

The third proportional to 60,995 and 129,766 is: 276,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,995 : 129,766 = 129,766 : x
  2. Step 2: Convert to fraction form
    60,995/129,766 = 129,766/x
  3. Step 3: Cross multiply
    60,995x = 129,766 × 129,766
  4. Step 4: Simplify right side
    60,995x = 16,839,214,756
  5. Step 5: Solve for x
    x = 16,839,214,756/60,995
  6. Step 6: Final answer
    x = 276,075.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.