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Finding the Third Proportional to 51,966 and 115,614

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Solution

The third proportional to 51,966 and 115,614 is: 257,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966 : 115,614 = 115,614 : x
  2. Step 2: Convert to fraction form
    51,966/115,614 = 115,614/x
  3. Step 3: Cross multiply
    51,966x = 115,614 × 115,614
  4. Step 4: Simplify right side
    51,966x = 13,366,596,996
  5. Step 5: Solve for x
    x = 13,366,596,996/51,966
  6. Step 6: Final answer
    x = 257,218.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.