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Finding the Third Proportional to 134,469 and 202,739

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Solution

The third proportional to 134,469 and 202,739 is: 305,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,469 : 202,739 = 202,739 : x
  2. Step 2: Convert to fraction form
    134,469/202,739 = 202,739/x
  3. Step 3: Cross multiply
    134,469x = 202,739 × 202,739
  4. Step 4: Simplify right side
    134,469x = 41,103,102,121
  5. Step 5: Solve for x
    x = 41,103,102,121/134,469
  6. Step 6: Final answer
    x = 305,669.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.