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Finding the Third Proportional to 52,675 and 115,653

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Solution

The third proportional to 52,675 and 115,653 is: 253,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675 : 115,653 = 115,653 : x
  2. Step 2: Convert to fraction form
    52,675/115,653 = 115,653/x
  3. Step 3: Cross multiply
    52,675x = 115,653 × 115,653
  4. Step 4: Simplify right side
    52,675x = 13,375,616,409
  5. Step 5: Solve for x
    x = 13,375,616,409/52,675
  6. Step 6: Final answer
    x = 253,927.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.