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Finding the Third Proportional to 75,511.50 and 119,963.25

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Solution

The third proportional to 75,511.50 and 119,963.25 is: 190,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,511.50 : 119,963.25 = 119,963.25 : x
  2. Step 2: Convert to fraction form
    75,511.50/119,963.25 = 119,963.25/x
  3. Step 3: Cross multiply
    75,511.50x = 119,963.25 × 119,963.25
  4. Step 4: Simplify right side
    75,511.50x = 14,391,181,350.56
  5. Step 5: Solve for x
    x = 14,391,181,350.56/75,511.50
  6. Step 6: Final answer
    x = 190,582.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.