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Finding the Third Proportional to 51,453 and 111,627

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Solution

The third proportional to 51,453 and 111,627 is: 242,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453 : 111,627 = 111,627 : x
  2. Step 2: Convert to fraction form
    51,453/111,627 = 111,627/x
  3. Step 3: Cross multiply
    51,453x = 111,627 × 111,627
  4. Step 4: Simplify right side
    51,453x = 12,460,587,129
  5. Step 5: Solve for x
    x = 12,460,587,129/51,453
  6. Step 6: Final answer
    x = 242,174.16

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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.