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Finding the Third Proportional to 125,340 and 273,546

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Solution

The third proportional to 125,340 and 273,546 is: 596,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,340 : 273,546 = 273,546 : x
  2. Step 2: Convert to fraction form
    125,340/273,546 = 273,546/x
  3. Step 3: Cross multiply
    125,340x = 273,546 × 273,546
  4. Step 4: Simplify right side
    125,340x = 74,827,414,116
  5. Step 5: Solve for x
    x = 74,827,414,116/125,340
  6. Step 6: Final answer
    x = 596,995.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.