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Finding the Third Proportional to 83,716 and 183,176

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Solution

The third proportional to 83,716 and 183,176 is: 400,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716 : 183,176 = 183,176 : x
  2. Step 2: Convert to fraction form
    83,716/183,176 = 183,176/x
  3. Step 3: Cross multiply
    83,716x = 183,176 × 183,176
  4. Step 4: Simplify right side
    83,716x = 33,553,446,976
  5. Step 5: Solve for x
    x = 33,553,446,976/83,716
  6. Step 6: Final answer
    x = 400,800.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.