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Finding the Third Proportional to 83,137.50 and 183,771

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Solution

The third proportional to 83,137.50 and 183,771 is: 406,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.50 : 183,771 = 183,771 : x
  2. Step 2: Convert to fraction form
    83,137.50/183,771 = 183,771/x
  3. Step 3: Cross multiply
    83,137.50x = 183,771 × 183,771
  4. Step 4: Simplify right side
    83,137.50x = 33,771,780,441
  5. Step 5: Solve for x
    x = 33,771,780,441/83,137.50
  6. Step 6: Final answer
    x = 406,215.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.