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Finding the Third Proportional to 72,425 and 103,980

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Solution

The third proportional to 72,425 and 103,980 is: 149,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,425 : 103,980 = 103,980 : x
  2. Step 2: Convert to fraction form
    72,425/103,980 = 103,980/x
  3. Step 3: Cross multiply
    72,425x = 103,980 × 103,980
  4. Step 4: Simplify right side
    72,425x = 10,811,840,400
  5. Step 5: Solve for x
    x = 10,811,840,400/72,425
  6. Step 6: Final answer
    x = 149,283.26

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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.