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Finding the Third Proportional to 53,117 and 115,894

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Solution

The third proportional to 53,117 and 115,894 is: 252,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,117 : 115,894 = 115,894 : x
  2. Step 2: Convert to fraction form
    53,117/115,894 = 115,894/x
  3. Step 3: Cross multiply
    53,117x = 115,894 × 115,894
  4. Step 4: Simplify right side
    53,117x = 13,431,419,236
  5. Step 5: Solve for x
    x = 13,431,419,236/53,117
  6. Step 6: Final answer
    x = 252,864.79

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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.