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Finding the Third Proportional to 118,131 and 181,571.50

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Solution

The third proportional to 118,131 and 181,571.50 is: 279,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,131 : 181,571.50 = 181,571.50 : x
  2. Step 2: Convert to fraction form
    118,131/181,571.50 = 181,571.50/x
  3. Step 3: Cross multiply
    118,131x = 181,571.50 × 181,571.50
  4. Step 4: Simplify right side
    118,131x = 32,968,209,612.25
  5. Step 5: Solve for x
    x = 32,968,209,612.25/118,131
  6. Step 6: Final answer
    x = 279,081.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.