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Finding the Third Proportional to 127,855.69 and 191,783.53

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Solution

The third proportional to 127,855.69 and 191,783.53 is: 287,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,855.69 : 191,783.53 = 191,783.53 : x
  2. Step 2: Convert to fraction form
    127,855.69/191,783.53 = 191,783.53/x
  3. Step 3: Cross multiply
    127,855.69x = 191,783.53 × 191,783.53
  4. Step 4: Simplify right side
    127,855.69x = 36,780,922,858.72
  5. Step 5: Solve for x
    x = 36,780,922,858.72/127,855.69
  6. Step 6: Final answer
    x = 287,675.30

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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.