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Finding the Third Proportional to 129,144 and 193,713

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Solution

The third proportional to 129,144 and 193,713 is: 290,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,144 : 193,713 = 193,713 : x
  2. Step 2: Convert to fraction form
    129,144/193,713 = 193,713/x
  3. Step 3: Cross multiply
    129,144x = 193,713 × 193,713
  4. Step 4: Simplify right side
    129,144x = 37,524,726,369
  5. Step 5: Solve for x
    x = 37,524,726,369/129,144
  6. Step 6: Final answer
    x = 290,565.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.