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Finding the Third Proportional to 40,125 and 84,726.75

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Solution

The third proportional to 40,125 and 84,726.75 is: 178,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,125 : 84,726.75 = 84,726.75 : x
  2. Step 2: Convert to fraction form
    40,125/84,726.75 = 84,726.75/x
  3. Step 3: Cross multiply
    40,125x = 84,726.75 × 84,726.75
  4. Step 4: Simplify right side
    40,125x = 7,178,622,165.56
  5. Step 5: Solve for x
    x = 7,178,622,165.56/40,125
  6. Step 6: Final answer
    x = 178,906.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.