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Finding the Third Proportional to 125,143.50 and 269,970

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Solution

The third proportional to 125,143.50 and 269,970 is: 582,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,143.50 : 269,970 = 269,970 : x
  2. Step 2: Convert to fraction form
    125,143.50/269,970 = 269,970/x
  3. Step 3: Cross multiply
    125,143.50x = 269,970 × 269,970
  4. Step 4: Simplify right side
    125,143.50x = 72,883,800,900
  5. Step 5: Solve for x
    x = 72,883,800,900/125,143.50
  6. Step 6: Final answer
    x = 582,401.81

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