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Finding the Third Proportional to 119,872 and 172,668

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Solution

The third proportional to 119,872 and 172,668 is: 248,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,872 : 172,668 = 172,668 : x
  2. Step 2: Convert to fraction form
    119,872/172,668 = 172,668/x
  3. Step 3: Cross multiply
    119,872x = 172,668 × 172,668
  4. Step 4: Simplify right side
    119,872x = 29,814,238,224
  5. Step 5: Solve for x
    x = 29,814,238,224/119,872
  6. Step 6: Final answer
    x = 248,717.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.