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Finding the Third Proportional to 109,942 and 165,933

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Solution

The third proportional to 109,942 and 165,933 is: 250,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,942 : 165,933 = 165,933 : x
  2. Step 2: Convert to fraction form
    109,942/165,933 = 165,933/x
  3. Step 3: Cross multiply
    109,942x = 165,933 × 165,933
  4. Step 4: Simplify right side
    109,942x = 27,533,760,489
  5. Step 5: Solve for x
    x = 27,533,760,489/109,942
  6. Step 6: Final answer
    x = 250,438.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.