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Finding the Third Proportional to 82,154 and 176,761

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Solution

The third proportional to 82,154 and 176,761 is: 380,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 176,761 = 176,761 : x
  2. Step 2: Convert to fraction form
    82,154/176,761 = 176,761/x
  3. Step 3: Cross multiply
    82,154x = 176,761 × 176,761
  4. Step 4: Simplify right side
    82,154x = 31,244,451,121
  5. Step 5: Solve for x
    x = 31,244,451,121/82,154
  6. Step 6: Final answer
    x = 380,315.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.