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Finding the Third Proportional to 124,740 and 273,399

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Solution

The third proportional to 124,740 and 273,399 is: 599,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,740 : 273,399 = 273,399 : x
  2. Step 2: Convert to fraction form
    124,740/273,399 = 273,399/x
  3. Step 3: Cross multiply
    124,740x = 273,399 × 273,399
  4. Step 4: Simplify right side
    124,740x = 74,747,013,201
  5. Step 5: Solve for x
    x = 74,747,013,201/124,740
  6. Step 6: Final answer
    x = 599,222.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.