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Finding the Third Proportional to 53,127 and 115,601

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Solution

The third proportional to 53,127 and 115,601 is: 251,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,127 : 115,601 = 115,601 : x
  2. Step 2: Convert to fraction form
    53,127/115,601 = 115,601/x
  3. Step 3: Cross multiply
    53,127x = 115,601 × 115,601
  4. Step 4: Simplify right side
    53,127x = 13,363,591,201
  5. Step 5: Solve for x
    x = 13,363,591,201/53,127
  6. Step 6: Final answer
    x = 251,540.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.