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Finding the Third Proportional to 82,066 and 176,685

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Solution

The third proportional to 82,066 and 176,685 is: 380,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,066 : 176,685 = 176,685 : x
  2. Step 2: Convert to fraction form
    82,066/176,685 = 176,685/x
  3. Step 3: Cross multiply
    82,066x = 176,685 × 176,685
  4. Step 4: Simplify right side
    82,066x = 31,217,589,225
  5. Step 5: Solve for x
    x = 31,217,589,225/82,066
  6. Step 6: Final answer
    x = 380,396.14

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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.