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Finding the Third Proportional to 120,340.69 and 180,135.56

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Solution

The third proportional to 120,340.69 and 180,135.56 is: 269,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,340.69 : 180,135.56 = 180,135.56 : x
  2. Step 2: Convert to fraction form
    120,340.69/180,135.56 = 180,135.56/x
  3. Step 3: Cross multiply
    120,340.69x = 180,135.56 × 180,135.56
  4. Step 4: Simplify right side
    120,340.69x = 32,448,820,877.19
  5. Step 5: Solve for x
    x = 32,448,820,877.19/120,340.69
  6. Step 6: Final answer
    x = 269,641.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.