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Finding the Third Proportional to 129,912.50 and 279,164

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Solution

The third proportional to 129,912.50 and 279,164 is: 599,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,912.50 : 279,164 = 279,164 : x
  2. Step 2: Convert to fraction form
    129,912.50/279,164 = 279,164/x
  3. Step 3: Cross multiply
    129,912.50x = 279,164 × 279,164
  4. Step 4: Simplify right side
    129,912.50x = 77,932,538,896
  5. Step 5: Solve for x
    x = 77,932,538,896/129,912.50
  6. Step 6: Final answer
    x = 599,884.84

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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.