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Finding the Third Proportional to 113,669 and 165,505

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Solution

The third proportional to 113,669 and 165,505 is: 240,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,669 : 165,505 = 165,505 : x
  2. Step 2: Convert to fraction form
    113,669/165,505 = 165,505/x
  3. Step 3: Cross multiply
    113,669x = 165,505 × 165,505
  4. Step 4: Simplify right side
    113,669x = 27,391,905,025
  5. Step 5: Solve for x
    x = 27,391,905,025/113,669
  6. Step 6: Final answer
    x = 240,979.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.