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Finding the Third Proportional to 54,546 and 115,695

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Solution

The third proportional to 54,546 and 115,695 is: 245,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 115,695 = 115,695 : x
  2. Step 2: Convert to fraction form
    54,546/115,695 = 115,695/x
  3. Step 3: Cross multiply
    54,546x = 115,695 × 115,695
  4. Step 4: Simplify right side
    54,546x = 13,385,333,025
  5. Step 5: Solve for x
    x = 13,385,333,025/54,546
  6. Step 6: Final answer
    x = 245,395.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.