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Finding the Third Proportional to 124,375.50 and 263,655

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Solution

The third proportional to 124,375.50 and 263,655 is: 558,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,375.50 : 263,655 = 263,655 : x
  2. Step 2: Convert to fraction form
    124,375.50/263,655 = 263,655/x
  3. Step 3: Cross multiply
    124,375.50x = 263,655 × 263,655
  4. Step 4: Simplify right side
    124,375.50x = 69,513,959,025
  5. Step 5: Solve for x
    x = 69,513,959,025/124,375.50
  6. Step 6: Final answer
    x = 558,903.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.