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Finding the Third Proportional to 59,940 and 129,225

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Solution

The third proportional to 59,940 and 129,225 is: 278,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,940 : 129,225 = 129,225 : x
  2. Step 2: Convert to fraction form
    59,940/129,225 = 129,225/x
  3. Step 3: Cross multiply
    59,940x = 129,225 × 129,225
  4. Step 4: Simplify right side
    59,940x = 16,699,100,625
  5. Step 5: Solve for x
    x = 16,699,100,625/59,940
  6. Step 6: Final answer
    x = 278,596.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.