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Finding the Third Proportional to 124,461 and 273,114

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Solution

The third proportional to 124,461 and 273,114 is: 599,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,461 : 273,114 = 273,114 : x
  2. Step 2: Convert to fraction form
    124,461/273,114 = 273,114/x
  3. Step 3: Cross multiply
    124,461x = 273,114 × 273,114
  4. Step 4: Simplify right side
    124,461x = 74,591,256,996
  5. Step 5: Solve for x
    x = 74,591,256,996/124,461
  6. Step 6: Final answer
    x = 599,314.30

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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.