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Finding the Third Proportional to 80,141.63 and 171,010.13

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Solution

The third proportional to 80,141.63 and 171,010.13 is: 364,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,141.63 : 171,010.13 = 171,010.13 : x
  2. Step 2: Convert to fraction form
    80,141.63/171,010.13 = 171,010.13/x
  3. Step 3: Cross multiply
    80,141.63x = 171,010.13 × 171,010.13
  4. Step 4: Simplify right side
    80,141.63x = 29,244,462,852.52
  5. Step 5: Solve for x
    x = 29,244,462,852.52/80,141.63
  6. Step 6: Final answer
    x = 364,909.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.