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Finding the Third Proportional to 119,571 and 251,535

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Solution

The third proportional to 119,571 and 251,535 is: 529,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,571 : 251,535 = 251,535 : x
  2. Step 2: Convert to fraction form
    119,571/251,535 = 251,535/x
  3. Step 3: Cross multiply
    119,571x = 251,535 × 251,535
  4. Step 4: Simplify right side
    119,571x = 63,269,856,225
  5. Step 5: Solve for x
    x = 63,269,856,225/119,571
  6. Step 6: Final answer
    x = 529,140.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.