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Finding the Third Proportional to 83,023.13 and 171,953.44

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Solution

The third proportional to 83,023.13 and 171,953.44 is: 356,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,023.13 : 171,953.44 = 171,953.44 : x
  2. Step 2: Convert to fraction form
    83,023.13/171,953.44 = 171,953.44/x
  3. Step 3: Cross multiply
    83,023.13x = 171,953.44 × 171,953.44
  4. Step 4: Simplify right side
    83,023.13x = 29,567,984,668.07
  5. Step 5: Solve for x
    x = 29,567,984,668.07/83,023.13
  6. Step 6: Final answer
    x = 356,141.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.