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Finding the Third Proportional to 125,354 and 275,584

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Solution

The third proportional to 125,354 and 275,584 is: 605,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,354 : 275,584 = 275,584 : x
  2. Step 2: Convert to fraction form
    125,354/275,584 = 275,584/x
  3. Step 3: Cross multiply
    125,354x = 275,584 × 275,584
  4. Step 4: Simplify right side
    125,354x = 75,946,541,056
  5. Step 5: Solve for x
    x = 75,946,541,056/125,354
  6. Step 6: Final answer
    x = 605,856.54

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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.