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Finding the Third Proportional to 125,857 and 165,092

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Solution

The third proportional to 125,857 and 165,092 is: 216,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,857 : 165,092 = 165,092 : x
  2. Step 2: Convert to fraction form
    125,857/165,092 = 165,092/x
  3. Step 3: Cross multiply
    125,857x = 165,092 × 165,092
  4. Step 4: Simplify right side
    125,857x = 27,255,368,464
  5. Step 5: Solve for x
    x = 27,255,368,464/125,857
  6. Step 6: Final answer
    x = 216,558.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.