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Finding the Third Proportional to 72,380.34 and 104,418.28

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Solution

The third proportional to 72,380.34 and 104,418.28 is: 150,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,380.34 : 104,418.28 = 104,418.28 : x
  2. Step 2: Convert to fraction form
    72,380.34/104,418.28 = 104,418.28/x
  3. Step 3: Cross multiply
    72,380.34x = 104,418.28 × 104,418.28
  4. Step 4: Simplify right side
    72,380.34x = 10,903,177,459.20
  5. Step 5: Solve for x
    x = 10,903,177,459.20/72,380.34
  6. Step 6: Final answer
    x = 150,637.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.