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Finding the Third Proportional to 125,565 and 275,916

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Solution

The third proportional to 125,565 and 275,916 is: 606,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,565 : 275,916 = 275,916 : x
  2. Step 2: Convert to fraction form
    125,565/275,916 = 275,916/x
  3. Step 3: Cross multiply
    125,565x = 275,916 × 275,916
  4. Step 4: Simplify right side
    125,565x = 76,129,639,056
  5. Step 5: Solve for x
    x = 76,129,639,056/125,565
  6. Step 6: Final answer
    x = 606,296.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.