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Finding the Third Proportional to 53,016 and 115,381

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Solution

The third proportional to 53,016 and 115,381 is: 251,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,016 : 115,381 = 115,381 : x
  2. Step 2: Convert to fraction form
    53,016/115,381 = 115,381/x
  3. Step 3: Cross multiply
    53,016x = 115,381 × 115,381
  4. Step 4: Simplify right side
    53,016x = 13,312,775,161
  5. Step 5: Solve for x
    x = 13,312,775,161/53,016
  6. Step 6: Final answer
    x = 251,108.63

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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.