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Finding the Third Proportional to 83,766 and 176,844

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Solution

The third proportional to 83,766 and 176,844 is: 373,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766 : 176,844 = 176,844 : x
  2. Step 2: Convert to fraction form
    83,766/176,844 = 176,844/x
  3. Step 3: Cross multiply
    83,766x = 176,844 × 176,844
  4. Step 4: Simplify right side
    83,766x = 31,273,800,336
  5. Step 5: Solve for x
    x = 31,273,800,336/83,766
  6. Step 6: Final answer
    x = 373,347.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.