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Finding the Third Proportional to 52,080 and 107,853

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Solution

The third proportional to 52,080 and 107,853 is: 223,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080 : 107,853 = 107,853 : x
  2. Step 2: Convert to fraction form
    52,080/107,853 = 107,853/x
  3. Step 3: Cross multiply
    52,080x = 107,853 × 107,853
  4. Step 4: Simplify right side
    52,080x = 11,632,269,609
  5. Step 5: Solve for x
    x = 11,632,269,609/52,080
  6. Step 6: Final answer
    x = 223,353.87

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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.