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Finding the Third Proportional to 129,034 and 202,767

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Solution

The third proportional to 129,034 and 202,767 is: 318,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,034 : 202,767 = 202,767 : x
  2. Step 2: Convert to fraction form
    129,034/202,767 = 202,767/x
  3. Step 3: Cross multiply
    129,034x = 202,767 × 202,767
  4. Step 4: Simplify right side
    129,034x = 41,114,456,289
  5. Step 5: Solve for x
    x = 41,114,456,289/129,034
  6. Step 6: Final answer
    x = 318,632.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.