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Finding the Third Proportional to 74,793 and 160,242

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Solution

The third proportional to 74,793 and 160,242 is: 343,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,793 : 160,242 = 160,242 : x
  2. Step 2: Convert to fraction form
    74,793/160,242 = 160,242/x
  3. Step 3: Cross multiply
    74,793x = 160,242 × 160,242
  4. Step 4: Simplify right side
    74,793x = 25,677,498,564
  5. Step 5: Solve for x
    x = 25,677,498,564/74,793
  6. Step 6: Final answer
    x = 343,314.19

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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.