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Finding the Third Proportional to 85,914 and 125,469

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Solution

The third proportional to 85,914 and 125,469 is: 183,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914 : 125,469 = 125,469 : x
  2. Step 2: Convert to fraction form
    85,914/125,469 = 125,469/x
  3. Step 3: Cross multiply
    85,914x = 125,469 × 125,469
  4. Step 4: Simplify right side
    85,914x = 15,742,469,961
  5. Step 5: Solve for x
    x = 15,742,469,961/85,914
  6. Step 6: Final answer
    x = 183,235.21

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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.