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Finding the Third Proportional to 80,169 and 176,133

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Solution

The third proportional to 80,169 and 176,133 is: 386,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,169 : 176,133 = 176,133 : x
  2. Step 2: Convert to fraction form
    80,169/176,133 = 176,133/x
  3. Step 3: Cross multiply
    80,169x = 176,133 × 176,133
  4. Step 4: Simplify right side
    80,169x = 31,022,833,689
  5. Step 5: Solve for x
    x = 31,022,833,689/80,169
  6. Step 6: Final answer
    x = 386,967.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.