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Finding the Third Proportional to 72,331.97 and 158,981.03

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Solution

The third proportional to 72,331.97 and 158,981.03 is: 349,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,331.97 : 158,981.03 = 158,981.03 : x
  2. Step 2: Convert to fraction form
    72,331.97/158,981.03 = 158,981.03/x
  3. Step 3: Cross multiply
    72,331.97x = 158,981.03 × 158,981.03
  4. Step 4: Simplify right side
    72,331.97x = 25,274,968,297.31
  5. Step 5: Solve for x
    x = 25,274,968,297.31/72,331.97
  6. Step 6: Final answer
    x = 349,430.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.