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Finding the Third Proportional to 80,129.25 and 173,107.13

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Solution

The third proportional to 80,129.25 and 173,107.13 is: 373,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,129.25 : 173,107.13 = 173,107.13 : x
  2. Step 2: Convert to fraction form
    80,129.25/173,107.13 = 173,107.13/x
  3. Step 3: Cross multiply
    80,129.25x = 173,107.13 × 173,107.13
  4. Step 4: Simplify right side
    80,129.25x = 29,966,076,725.77
  5. Step 5: Solve for x
    x = 29,966,076,725.77/80,129.25
  6. Step 6: Final answer
    x = 373,971.76

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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.