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Finding the Third Proportional to 125,057 and 273,832

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Solution

The third proportional to 125,057 and 273,832 is: 599,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,057 : 273,832 = 273,832 : x
  2. Step 2: Convert to fraction form
    125,057/273,832 = 273,832/x
  3. Step 3: Cross multiply
    125,057x = 273,832 × 273,832
  4. Step 4: Simplify right side
    125,057x = 74,983,964,224
  5. Step 5: Solve for x
    x = 74,983,964,224/125,057
  6. Step 6: Final answer
    x = 599,598.30

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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.