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Finding the Third Proportional to 124,474 and 273,140

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Solution

The third proportional to 124,474 and 273,140 is: 599,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,474 : 273,140 = 273,140 : x
  2. Step 2: Convert to fraction form
    124,474/273,140 = 273,140/x
  3. Step 3: Cross multiply
    124,474x = 273,140 × 273,140
  4. Step 4: Simplify right side
    124,474x = 74,605,459,600
  5. Step 5: Solve for x
    x = 74,605,459,600/124,474
  6. Step 6: Final answer
    x = 599,365.81

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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.