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Finding the Third Proportional to 127,077.75 and 190,633.50

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Solution

The third proportional to 127,077.75 and 190,633.50 is: 285,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,077.75 : 190,633.50 = 190,633.50 : x
  2. Step 2: Convert to fraction form
    127,077.75/190,633.50 = 190,633.50/x
  3. Step 3: Cross multiply
    127,077.75x = 190,633.50 × 190,633.50
  4. Step 4: Simplify right side
    127,077.75x = 36,341,131,322.25
  5. Step 5: Solve for x
    x = 36,341,131,322.25/127,077.75
  6. Step 6: Final answer
    x = 285,975.56

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Why These Related Problems?

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