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Finding the Third Proportional to 74,750 and 160,594

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Solution

The third proportional to 74,750 and 160,594 is: 345,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,750 : 160,594 = 160,594 : x
  2. Step 2: Convert to fraction form
    74,750/160,594 = 160,594/x
  3. Step 3: Cross multiply
    74,750x = 160,594 × 160,594
  4. Step 4: Simplify right side
    74,750x = 25,790,432,836
  5. Step 5: Solve for x
    x = 25,790,432,836/74,750
  6. Step 6: Final answer
    x = 345,022.51

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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.