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Finding the Third Proportional to 84,097.50 and 183,171

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Solution

The third proportional to 84,097.50 and 183,171 is: 398,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097.50 : 183,171 = 183,171 : x
  2. Step 2: Convert to fraction form
    84,097.50/183,171 = 183,171/x
  3. Step 3: Cross multiply
    84,097.50x = 183,171 × 183,171
  4. Step 4: Simplify right side
    84,097.50x = 33,551,615,241
  5. Step 5: Solve for x
    x = 33,551,615,241/84,097.50
  6. Step 6: Final answer
    x = 398,960.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.