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Finding the Third Proportional to 51,408.25 and 119,001.50

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Solution

The third proportional to 51,408.25 and 119,001.50 is: 275,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408.25 : 119,001.50 = 119,001.50 : x
  2. Step 2: Convert to fraction form
    51,408.25/119,001.50 = 119,001.50/x
  3. Step 3: Cross multiply
    51,408.25x = 119,001.50 × 119,001.50
  4. Step 4: Simplify right side
    51,408.25x = 14,161,357,002.25
  5. Step 5: Solve for x
    x = 14,161,357,002.25/51,408.25
  6. Step 6: Final answer
    x = 275,468.57

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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.