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Finding the Third Proportional to 57.09 and 123.32

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Solution

The third proportional to 57.09 and 123.32 is: 266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.09 : 123.32 = 123.32 : x
  2. Step 2: Convert to fraction form
    57.09/123.32 = 123.32/x
  3. Step 3: Cross multiply
    57.09x = 123.32 × 123.32
  4. Step 4: Simplify right side
    57.09x = 15,206.94
  5. Step 5: Solve for x
    x = 15,206.94/57.09
  6. Step 6: Final answer
    x = 266.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.