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Finding the Third Proportional to 72,333 and 158,024.25

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Solution

The third proportional to 72,333 and 158,024.25 is: 345,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,333 : 158,024.25 = 158,024.25 : x
  2. Step 2: Convert to fraction form
    72,333/158,024.25 = 158,024.25/x
  3. Step 3: Cross multiply
    72,333x = 158,024.25 × 158,024.25
  4. Step 4: Simplify right side
    72,333x = 24,971,663,588.06
  5. Step 5: Solve for x
    x = 24,971,663,588.06/72,333
  6. Step 6: Final answer
    x = 345,231.96

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