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Finding the Third Proportional to 72,726.75 and 158,541.75

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Solution

The third proportional to 72,726.75 and 158,541.75 is: 345,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726.75 : 158,541.75 = 158,541.75 : x
  2. Step 2: Convert to fraction form
    72,726.75/158,541.75 = 158,541.75/x
  3. Step 3: Cross multiply
    72,726.75x = 158,541.75 × 158,541.75
  4. Step 4: Simplify right side
    72,726.75x = 25,135,486,493.06
  5. Step 5: Solve for x
    x = 25,135,486,493.06/72,726.75
  6. Step 6: Final answer
    x = 345,615.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.