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Finding the Third Proportional to 124,455 and 273,102

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Solution

The third proportional to 124,455 and 273,102 is: 599,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,455 : 273,102 = 273,102 : x
  2. Step 2: Convert to fraction form
    124,455/273,102 = 273,102/x
  3. Step 3: Cross multiply
    124,455x = 273,102 × 273,102
  4. Step 4: Simplify right side
    124,455x = 74,584,702,404
  5. Step 5: Solve for x
    x = 74,584,702,404/124,455
  6. Step 6: Final answer
    x = 599,290.53

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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.