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Finding the Third Proportional to 125,485 and 275,848

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Solution

The third proportional to 125,485 and 275,848 is: 606,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,485 : 275,848 = 275,848 : x
  2. Step 2: Convert to fraction form
    125,485/275,848 = 275,848/x
  3. Step 3: Cross multiply
    125,485x = 275,848 × 275,848
  4. Step 4: Simplify right side
    125,485x = 76,092,119,104
  5. Step 5: Solve for x
    x = 76,092,119,104/125,485
  6. Step 6: Final answer
    x = 606,384.18

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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.