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Finding the Third Proportional to 51,490.50 and 120,295.50

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Solution

The third proportional to 51,490.50 and 120,295.50 is: 281,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,490.50 : 120,295.50 = 120,295.50 : x
  2. Step 2: Convert to fraction form
    51,490.50/120,295.50 = 120,295.50/x
  3. Step 3: Cross multiply
    51,490.50x = 120,295.50 × 120,295.50
  4. Step 4: Simplify right side
    51,490.50x = 14,471,007,320.25
  5. Step 5: Solve for x
    x = 14,471,007,320.25/51,490.50
  6. Step 6: Final answer
    x = 281,042.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.