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Finding the Third Proportional to 54,535 and 115,663

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Solution

The third proportional to 54,535 and 115,663 is: 245,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,535 : 115,663 = 115,663 : x
  2. Step 2: Convert to fraction form
    54,535/115,663 = 115,663/x
  3. Step 3: Cross multiply
    54,535x = 115,663 × 115,663
  4. Step 4: Simplify right side
    54,535x = 13,377,929,569
  5. Step 5: Solve for x
    x = 13,377,929,569/54,535
  6. Step 6: Final answer
    x = 245,309.06

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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.