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Finding the Third Proportional to 82,138 and 176,546

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Solution

The third proportional to 82,138 and 176,546 is: 379,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138 : 176,546 = 176,546 : x
  2. Step 2: Convert to fraction form
    82,138/176,546 = 176,546/x
  3. Step 3: Cross multiply
    82,138x = 176,546 × 176,546
  4. Step 4: Simplify right side
    82,138x = 31,168,490,116
  5. Step 5: Solve for x
    x = 31,168,490,116/82,138
  6. Step 6: Final answer
    x = 379,464.93

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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.