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Finding the Third Proportional to 124.03 and 260.72

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Solution

The third proportional to 124.03 and 260.72 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.03 : 260.72 = 260.72 : x
  2. Step 2: Convert to fraction form
    124.03/260.72 = 260.72/x
  3. Step 3: Cross multiply
    124.03x = 260.72 × 260.72
  4. Step 4: Simplify right side
    124.03x = 67,974.27
  5. Step 5: Solve for x
    x = 67,974.27/124.03
  6. Step 6: Final answer
    x = 548.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.