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Finding the Third Proportional to 125,071 and 273,856

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Solution

The third proportional to 125,071 and 273,856 is: 599,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,071 : 273,856 = 273,856 : x
  2. Step 2: Convert to fraction form
    125,071/273,856 = 273,856/x
  3. Step 3: Cross multiply
    125,071x = 273,856 × 273,856
  4. Step 4: Simplify right side
    125,071x = 74,997,108,736
  5. Step 5: Solve for x
    x = 74,997,108,736/125,071
  6. Step 6: Final answer
    x = 599,636.28

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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.