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Finding the Third Proportional to 141,243.75 and 171,497.25

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Solution

The third proportional to 141,243.75 and 171,497.25 is: 208,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,243.75 : 171,497.25 = 171,497.25 : x
  2. Step 2: Convert to fraction form
    141,243.75/171,497.25 = 171,497.25/x
  3. Step 3: Cross multiply
    141,243.75x = 171,497.25 × 171,497.25
  4. Step 4: Simplify right side
    141,243.75x = 29,411,306,757.56
  5. Step 5: Solve for x
    x = 29,411,306,757.56/141,243.75
  6. Step 6: Final answer
    x = 208,230.85

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.