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Finding the Third Proportional to 64,849 and 119,042

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Solution

The third proportional to 64,849 and 119,042 is: 218,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849 : 119,042 = 119,042 : x
  2. Step 2: Convert to fraction form
    64,849/119,042 = 119,042/x
  3. Step 3: Cross multiply
    64,849x = 119,042 × 119,042
  4. Step 4: Simplify right side
    64,849x = 14,170,997,764
  5. Step 5: Solve for x
    x = 14,170,997,764/64,849
  6. Step 6: Final answer
    x = 218,523.00

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.