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Finding the Third Proportional to 113,583 and 165,085

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Solution

The third proportional to 113,583 and 165,085 is: 239,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,583 : 165,085 = 165,085 : x
  2. Step 2: Convert to fraction form
    113,583/165,085 = 165,085/x
  3. Step 3: Cross multiply
    113,583x = 165,085 × 165,085
  4. Step 4: Simplify right side
    113,583x = 27,253,057,225
  5. Step 5: Solve for x
    x = 27,253,057,225/113,583
  6. Step 6: Final answer
    x = 239,939.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.