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Finding the Third Proportional to 74,278.50 and 158,925

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Solution

The third proportional to 74,278.50 and 158,925 is: 340,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,278.50 : 158,925 = 158,925 : x
  2. Step 2: Convert to fraction form
    74,278.50/158,925 = 158,925/x
  3. Step 3: Cross multiply
    74,278.50x = 158,925 × 158,925
  4. Step 4: Simplify right side
    74,278.50x = 25,257,155,625
  5. Step 5: Solve for x
    x = 25,257,155,625/74,278.50
  6. Step 6: Final answer
    x = 340,033.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.