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Finding the Third Proportional to 84,224.25 and 126,677.25

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Solution

The third proportional to 84,224.25 and 126,677.25 is: 190,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,224.25 : 126,677.25 = 126,677.25 : x
  2. Step 2: Convert to fraction form
    84,224.25/126,677.25 = 126,677.25/x
  3. Step 3: Cross multiply
    84,224.25x = 126,677.25 × 126,677.25
  4. Step 4: Simplify right side
    84,224.25x = 16,047,125,667.56
  5. Step 5: Solve for x
    x = 16,047,125,667.56/84,224.25
  6. Step 6: Final answer
    x = 190,528.57

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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.