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Finding the Third Proportional to 51,407.25 and 119,000.88

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Solution

The third proportional to 51,407.25 and 119,000.88 is: 275,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,407.25 : 119,000.88 = 119,000.88 : x
  2. Step 2: Convert to fraction form
    51,407.25/119,000.88 = 119,000.88/x
  3. Step 3: Cross multiply
    51,407.25x = 119,000.88 × 119,000.88
  4. Step 4: Simplify right side
    51,407.25x = 14,161,208,250.77
  5. Step 5: Solve for x
    x = 14,161,208,250.77/51,407.25
  6. Step 6: Final answer
    x = 275,471.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.