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Finding the Third Proportional to 129,972.73 and 173,849.41

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Solution

The third proportional to 129,972.73 and 173,849.41 is: 232,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,972.73 : 173,849.41 = 173,849.41 : x
  2. Step 2: Convert to fraction form
    129,972.73/173,849.41 = 173,849.41/x
  3. Step 3: Cross multiply
    129,972.73x = 173,849.41 × 173,849.41
  4. Step 4: Simplify right side
    129,972.73x = 30,223,618,769.87
  5. Step 5: Solve for x
    x = 30,223,618,769.87/129,972.73
  6. Step 6: Final answer
    x = 232,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.