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Finding the Third Proportional to 73,770 and 160,050

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Solution

The third proportional to 73,770 and 160,050 is: 347,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,770 : 160,050 = 160,050 : x
  2. Step 2: Convert to fraction form
    73,770/160,050 = 160,050/x
  3. Step 3: Cross multiply
    73,770x = 160,050 × 160,050
  4. Step 4: Simplify right side
    73,770x = 25,616,002,500
  5. Step 5: Solve for x
    x = 25,616,002,500/73,770
  6. Step 6: Final answer
    x = 347,241.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.