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Finding the Third Proportional to 80,159.63 and 173,167.88

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Solution

The third proportional to 80,159.63 and 173,167.88 is: 374,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,159.63 : 173,167.88 = 173,167.88 : x
  2. Step 2: Convert to fraction form
    80,159.63/173,167.88 = 173,167.88/x
  3. Step 3: Cross multiply
    80,159.63x = 173,167.88 × 173,167.88
  4. Step 4: Simplify right side
    80,159.63x = 29,987,112,932.02
  5. Step 5: Solve for x
    x = 29,987,112,932.02/80,159.63
  6. Step 6: Final answer
    x = 374,092.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.