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Finding the Third Proportional to 123.05 and 257.06

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Solution

The third proportional to 123.05 and 257.06 is: 537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 257.06 = 257.06 : x
  2. Step 2: Convert to fraction form
    123.05/257.06 = 257.06/x
  3. Step 3: Cross multiply
    123.05x = 257.06 × 257.06
  4. Step 4: Simplify right side
    123.05x = 66,081.13
  5. Step 5: Solve for x
    x = 66,081.13/123.05
  6. Step 6: Final answer
    x = 537.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.