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Finding the Third Proportional to 83,128.50 and 183,753

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Solution

The third proportional to 83,128.50 and 183,753 is: 406,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,128.50 : 183,753 = 183,753 : x
  2. Step 2: Convert to fraction form
    83,128.50/183,753 = 183,753/x
  3. Step 3: Cross multiply
    83,128.50x = 183,753 × 183,753
  4. Step 4: Simplify right side
    83,128.50x = 33,765,165,009
  5. Step 5: Solve for x
    x = 33,765,165,009/83,128.50
  6. Step 6: Final answer
    x = 406,180.37

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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.