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Finding the Third Proportional to 74,074.50 and 117,672.75

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Solution

The third proportional to 74,074.50 and 117,672.75 is: 186,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074.50 : 117,672.75 = 117,672.75 : x
  2. Step 2: Convert to fraction form
    74,074.50/117,672.75 = 117,672.75/x
  3. Step 3: Cross multiply
    74,074.50x = 117,672.75 × 117,672.75
  4. Step 4: Simplify right side
    74,074.50x = 13,846,876,092.56
  5. Step 5: Solve for x
    x = 13,846,876,092.56/74,074.50
  6. Step 6: Final answer
    x = 186,931.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.