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Finding the Third Proportional to 47,498.25 and 74,123.25

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Solution

The third proportional to 47,498.25 and 74,123.25 is: 115,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498.25 : 74,123.25 = 74,123.25 : x
  2. Step 2: Convert to fraction form
    47,498.25/74,123.25 = 74,123.25/x
  3. Step 3: Cross multiply
    47,498.25x = 74,123.25 × 74,123.25
  4. Step 4: Simplify right side
    47,498.25x = 5,494,256,190.56
  5. Step 5: Solve for x
    x = 5,494,256,190.56/47,498.25
  6. Step 6: Final answer
    x = 115,672.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.