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Finding the Third Proportional to 125,036 and 273,788

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Solution

The third proportional to 125,036 and 273,788 is: 599,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,036 : 273,788 = 273,788 : x
  2. Step 2: Convert to fraction form
    125,036/273,788 = 273,788/x
  3. Step 3: Cross multiply
    125,036x = 273,788 × 273,788
  4. Step 4: Simplify right side
    125,036x = 74,959,868,944
  5. Step 5: Solve for x
    x = 74,959,868,944/125,036
  6. Step 6: Final answer
    x = 599,506.29

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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.