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Finding the Third Proportional to 53,606 and 117,902

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Solution

The third proportional to 53,606 and 117,902 is: 259,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,606 : 117,902 = 117,902 : x
  2. Step 2: Convert to fraction form
    53,606/117,902 = 117,902/x
  3. Step 3: Cross multiply
    53,606x = 117,902 × 117,902
  4. Step 4: Simplify right side
    53,606x = 13,900,881,604
  5. Step 5: Solve for x
    x = 13,900,881,604/53,606
  6. Step 6: Final answer
    x = 259,315.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.