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Finding the Third Proportional to 82,062 and 176,678

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Solution

The third proportional to 82,062 and 176,678 is: 380,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062 : 176,678 = 176,678 : x
  2. Step 2: Convert to fraction form
    82,062/176,678 = 176,678/x
  3. Step 3: Cross multiply
    82,062x = 176,678 × 176,678
  4. Step 4: Simplify right side
    82,062x = 31,215,115,684
  5. Step 5: Solve for x
    x = 31,215,115,684/82,062
  6. Step 6: Final answer
    x = 380,384.53

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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.