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Finding the Third Proportional to 35,219.50 and 72,058.75

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Solution

The third proportional to 35,219.50 and 72,058.75 is: 147,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.50 : 72,058.75 = 72,058.75 : x
  2. Step 2: Convert to fraction form
    35,219.50/72,058.75 = 72,058.75/x
  3. Step 3: Cross multiply
    35,219.50x = 72,058.75 × 72,058.75
  4. Step 4: Simplify right side
    35,219.50x = 5,192,463,451.56
  5. Step 5: Solve for x
    x = 5,192,463,451.56/35,219.50
  6. Step 6: Final answer
    x = 147,431.49

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.