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Finding the Third Proportional to 27,153 and 58,945

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Solution

The third proportional to 27,153 and 58,945 is: 127,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,153 : 58,945 = 58,945 : x
  2. Step 2: Convert to fraction form
    27,153/58,945 = 58,945/x
  3. Step 3: Cross multiply
    27,153x = 58,945 × 58,945
  4. Step 4: Simplify right side
    27,153x = 3,474,513,025
  5. Step 5: Solve for x
    x = 3,474,513,025/27,153
  6. Step 6: Final answer
    x = 127,960.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.