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Finding the Third Proportional to 124.45 and 255.87

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Solution

The third proportional to 124.45 and 255.87 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.45 : 255.87 = 255.87 : x
  2. Step 2: Convert to fraction form
    124.45/255.87 = 255.87/x
  3. Step 3: Cross multiply
    124.45x = 255.87 × 255.87
  4. Step 4: Simplify right side
    124.45x = 65,468.02
  5. Step 5: Solve for x
    x = 65,468.02/124.45
  6. Step 6: Final answer
    x = 526.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.