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Finding the Third Proportional to 57,233.25 and 87,557.63

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Solution

The third proportional to 57,233.25 and 87,557.63 is: 133,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.25 : 87,557.63 = 87,557.63 : x
  2. Step 2: Convert to fraction form
    57,233.25/87,557.63 = 87,557.63/x
  3. Step 3: Cross multiply
    57,233.25x = 87,557.63 × 87,557.63
  4. Step 4: Simplify right side
    57,233.25x = 7,666,337,695.64
  5. Step 5: Solve for x
    x = 7,666,337,695.64/57,233.25
  6. Step 6: Final answer
    x = 133,949.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.