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Finding the Third Proportional to 74,942 and 160,888

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Solution

The third proportional to 74,942 and 160,888 is: 345,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942 : 160,888 = 160,888 : x
  2. Step 2: Convert to fraction form
    74,942/160,888 = 160,888/x
  3. Step 3: Cross multiply
    74,942x = 160,888 × 160,888
  4. Step 4: Simplify right side
    74,942x = 25,884,948,544
  5. Step 5: Solve for x
    x = 25,884,948,544/74,942
  6. Step 6: Final answer
    x = 345,399.76

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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.