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Finding the Third Proportional to 124,472 and 273,132

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Solution

The third proportional to 124,472 and 273,132 is: 599,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,472 : 273,132 = 273,132 : x
  2. Step 2: Convert to fraction form
    124,472/273,132 = 273,132/x
  3. Step 3: Cross multiply
    124,472x = 273,132 × 273,132
  4. Step 4: Simplify right side
    124,472x = 74,601,089,424
  5. Step 5: Solve for x
    x = 74,601,089,424/124,472
  6. Step 6: Final answer
    x = 599,340.33

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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.