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Finding the Third Proportional to 51,530 and 109,810

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Solution

The third proportional to 51,530 and 109,810 is: 234,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,530 : 109,810 = 109,810 : x
  2. Step 2: Convert to fraction form
    51,530/109,810 = 109,810/x
  3. Step 3: Cross multiply
    51,530x = 109,810 × 109,810
  4. Step 4: Simplify right side
    51,530x = 12,058,236,100
  5. Step 5: Solve for x
    x = 12,058,236,100/51,530
  6. Step 6: Final answer
    x = 234,004.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.