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Finding the Third Proportional to 125,073 and 273,852

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Solution

The third proportional to 125,073 and 273,852 is: 599,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,073 : 273,852 = 273,852 : x
  2. Step 2: Convert to fraction form
    125,073/273,852 = 273,852/x
  3. Step 3: Cross multiply
    125,073x = 273,852 × 273,852
  4. Step 4: Simplify right side
    125,073x = 74,994,917,904
  5. Step 5: Solve for x
    x = 74,994,917,904/125,073
  6. Step 6: Final answer
    x = 599,609.17

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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.