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Finding the Third Proportional to 82,074 and 176,409

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Solution

The third proportional to 82,074 and 176,409 is: 379,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,074 : 176,409 = 176,409 : x
  2. Step 2: Convert to fraction form
    82,074/176,409 = 176,409/x
  3. Step 3: Cross multiply
    82,074x = 176,409 × 176,409
  4. Step 4: Simplify right side
    82,074x = 31,120,135,281
  5. Step 5: Solve for x
    x = 31,120,135,281/82,074
  6. Step 6: Final answer
    x = 379,171.67

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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.