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Finding the Third Proportional to 125,896.50 and 271,900.25

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Solution

The third proportional to 125,896.50 and 271,900.25 is: 587,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,896.50 : 271,900.25 = 271,900.25 : x
  2. Step 2: Convert to fraction form
    125,896.50/271,900.25 = 271,900.25/x
  3. Step 3: Cross multiply
    125,896.50x = 271,900.25 × 271,900.25
  4. Step 4: Simplify right side
    125,896.50x = 73,929,745,950.06
  5. Step 5: Solve for x
    x = 73,929,745,950.06/125,896.50
  6. Step 6: Final answer
    x = 587,226.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.