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Finding the Third Proportional to 75,787.50 and 159,189

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Solution

The third proportional to 75,787.50 and 159,189 is: 334,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,787.50 : 159,189 = 159,189 : x
  2. Step 2: Convert to fraction form
    75,787.50/159,189 = 159,189/x
  3. Step 3: Cross multiply
    75,787.50x = 159,189 × 159,189
  4. Step 4: Simplify right side
    75,787.50x = 25,341,137,721
  5. Step 5: Solve for x
    x = 25,341,137,721/75,787.50
  6. Step 6: Final answer
    x = 334,370.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.