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Finding the Third Proportional to 108,033.75 and 143,356.50

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Solution

The third proportional to 108,033.75 and 143,356.50 is: 190,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,033.75 : 143,356.50 = 143,356.50 : x
  2. Step 2: Convert to fraction form
    108,033.75/143,356.50 = 143,356.50/x
  3. Step 3: Cross multiply
    108,033.75x = 143,356.50 × 143,356.50
  4. Step 4: Simplify right side
    108,033.75x = 20,551,086,092.25
  5. Step 5: Solve for x
    x = 20,551,086,092.25/108,033.75
  6. Step 6: Final answer
    x = 190,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.