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Finding the Third Proportional to 85,406 and 125,901

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Solution

The third proportional to 85,406 and 125,901 is: 185,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406 : 125,901 = 125,901 : x
  2. Step 2: Convert to fraction form
    85,406/125,901 = 125,901/x
  3. Step 3: Cross multiply
    85,406x = 125,901 × 125,901
  4. Step 4: Simplify right side
    85,406x = 15,851,061,801
  5. Step 5: Solve for x
    x = 15,851,061,801/85,406
  6. Step 6: Final answer
    x = 185,596.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.