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Finding the Third Proportional to 54,702 and 128,790

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Solution

The third proportional to 54,702 and 128,790 is: 303,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702 : 128,790 = 128,790 : x
  2. Step 2: Convert to fraction form
    54,702/128,790 = 128,790/x
  3. Step 3: Cross multiply
    54,702x = 128,790 × 128,790
  4. Step 4: Simplify right side
    54,702x = 16,586,864,100
  5. Step 5: Solve for x
    x = 16,586,864,100/54,702
  6. Step 6: Final answer
    x = 303,222.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.