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Finding the Third Proportional to 72,941.25 and 158,331.38

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Solution

The third proportional to 72,941.25 and 158,331.38 is: 343,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,941.25 : 158,331.38 = 158,331.38 : x
  2. Step 2: Convert to fraction form
    72,941.25/158,331.38 = 158,331.38/x
  3. Step 3: Cross multiply
    72,941.25x = 158,331.38 × 158,331.38
  4. Step 4: Simplify right side
    72,941.25x = 25,068,824,309.39
  5. Step 5: Solve for x
    x = 25,068,824,309.39/72,941.25
  6. Step 6: Final answer
    x = 343,685.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.