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Finding the Third Proportional to 107,827 and 165,509

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Solution

The third proportional to 107,827 and 165,509 is: 254,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,827 : 165,509 = 165,509 : x
  2. Step 2: Convert to fraction form
    107,827/165,509 = 165,509/x
  3. Step 3: Cross multiply
    107,827x = 165,509 × 165,509
  4. Step 4: Simplify right side
    107,827x = 27,393,229,081
  5. Step 5: Solve for x
    x = 27,393,229,081/107,827
  6. Step 6: Final answer
    x = 254,047.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.