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Finding the Third Proportional to 74,940 and 160,539

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Solution

The third proportional to 74,940 and 160,539 is: 343,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,940 : 160,539 = 160,539 : x
  2. Step 2: Convert to fraction form
    74,940/160,539 = 160,539/x
  3. Step 3: Cross multiply
    74,940x = 160,539 × 160,539
  4. Step 4: Simplify right side
    74,940x = 25,772,770,521
  5. Step 5: Solve for x
    x = 25,772,770,521/74,940
  6. Step 6: Final answer
    x = 343,912.07

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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.