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Finding the Third Proportional to 60,299.44 and 129,817.69

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Solution

The third proportional to 60,299.44 and 129,817.69 is: 279,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,299.44 : 129,817.69 = 129,817.69 : x
  2. Step 2: Convert to fraction form
    60,299.44/129,817.69 = 129,817.69/x
  3. Step 3: Cross multiply
    60,299.44x = 129,817.69 × 129,817.69
  4. Step 4: Simplify right side
    60,299.44x = 16,852,631,987.85
  5. Step 5: Solve for x
    x = 16,852,631,987.85/60,299.44
  6. Step 6: Final answer
    x = 279,482.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.