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Finding the Third Proportional to 119,776 and 179,668

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Solution

The third proportional to 119,776 and 179,668 is: 269,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,776 : 179,668 = 179,668 : x
  2. Step 2: Convert to fraction form
    119,776/179,668 = 179,668/x
  3. Step 3: Cross multiply
    119,776x = 179,668 × 179,668
  4. Step 4: Simplify right side
    119,776x = 32,280,590,224
  5. Step 5: Solve for x
    x = 32,280,590,224/119,776
  6. Step 6: Final answer
    x = 269,508.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.