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Finding the Third Proportional to 64,809 and 150,130

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Solution

The third proportional to 64,809 and 150,130 is: 347,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809 : 150,130 = 150,130 : x
  2. Step 2: Convert to fraction form
    64,809/150,130 = 150,130/x
  3. Step 3: Cross multiply
    64,809x = 150,130 × 150,130
  4. Step 4: Simplify right side
    64,809x = 22,539,016,900
  5. Step 5: Solve for x
    x = 22,539,016,900/64,809
  6. Step 6: Final answer
    x = 347,776.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.