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Finding the Third Proportional to 125,562 and 275,910

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Solution

The third proportional to 125,562 and 275,910 is: 606,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,562 : 275,910 = 275,910 : x
  2. Step 2: Convert to fraction form
    125,562/275,910 = 275,910/x
  3. Step 3: Cross multiply
    125,562x = 275,910 × 275,910
  4. Step 4: Simplify right side
    125,562x = 76,126,328,100
  5. Step 5: Solve for x
    x = 76,126,328,100/125,562
  6. Step 6: Final answer
    x = 606,284.77

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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.