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Finding the Third Proportional to 119,183.63 and 176,713.88

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Solution

The third proportional to 119,183.63 and 176,713.88 is: 262,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,183.63 : 176,713.88 = 176,713.88 : x
  2. Step 2: Convert to fraction form
    119,183.63/176,713.88 = 176,713.88/x
  3. Step 3: Cross multiply
    119,183.63x = 176,713.88 × 176,713.88
  4. Step 4: Simplify right side
    119,183.63x = 31,227,793,617.52
  5. Step 5: Solve for x
    x = 31,227,793,617.52/119,183.63
  6. Step 6: Final answer
    x = 262,014.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.