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Finding the Third Proportional to 54,410 and 115,351

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Solution

The third proportional to 54,410 and 115,351 is: 244,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410 : 115,351 = 115,351 : x
  2. Step 2: Convert to fraction form
    54,410/115,351 = 115,351/x
  3. Step 3: Cross multiply
    54,410x = 115,351 × 115,351
  4. Step 4: Simplify right side
    54,410x = 13,305,853,201
  5. Step 5: Solve for x
    x = 13,305,853,201/54,410
  6. Step 6: Final answer
    x = 244,547.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.