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Finding the Third Proportional to 55,755 and 115,371

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Solution

The third proportional to 55,755 and 115,371 is: 238,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755 : 115,371 = 115,371 : x
  2. Step 2: Convert to fraction form
    55,755/115,371 = 115,371/x
  3. Step 3: Cross multiply
    55,755x = 115,371 × 115,371
  4. Step 4: Simplify right side
    55,755x = 13,310,467,641
  5. Step 5: Solve for x
    x = 13,310,467,641/55,755
  6. Step 6: Final answer
    x = 238,731.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.