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Finding the Third Proportional to 115,907 and 165,436

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Solution

The third proportional to 115,907 and 165,436 is: 236,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,907 : 165,436 = 165,436 : x
  2. Step 2: Convert to fraction form
    115,907/165,436 = 165,436/x
  3. Step 3: Cross multiply
    115,907x = 165,436 × 165,436
  4. Step 4: Simplify right side
    115,907x = 27,369,070,096
  5. Step 5: Solve for x
    x = 27,369,070,096/115,907
  6. Step 6: Final answer
    x = 236,129.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.